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Pelat besi bersuhu 20 o C mempunyai ukuran 50 cm × 20 cm . Jika pelat besi dipanaskan sampai suhu 120 o C , hitung tambahan luas dan luasnya setelah dipanaskan! (koefisien muai panjang besi 12 × 1 0 − 6 / o C )

Pelat besi bersuhu  mempunyai ukuran . Jika pelat besi dipanaskan sampai suhu , hitung tambahan luas dan luasnya setelah dipanaskan! (koefisien muai panjang besi )

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Jawaban terverifikasi

Jawaban

pertambahan luasnya dan luasnya menjadi .

pertambahan luasnya begin mathsize 14px style bold 2 bold comma bold 4 bold space bold cm to the power of bold 2 end style dan luasnya menjadi begin mathsize 14px style bold 102 bold comma bold 4 bold space bold cm to the power of bold 2 end style.

Pembahasan

Pembahasan
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Diketahui : Ditanya : Jawab : Pertambahan luas : Luas akhir : Jadi, pertambahan luasnya dan luasnya menjadi .

Diketahui :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript a w a l end subscript end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 20 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank presuperscript straight o end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight C end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript a k h i r end subscript end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 120 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank presuperscript straight o end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight C end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank increment end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank T end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript a k h i r end subscript end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript a w a l end subscript end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 100 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank presuperscript straight o end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight C end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank p end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 50 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cm end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank l end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 20 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cm end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript o end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank p end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank l end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 50 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 20 end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1000 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cm end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 12 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of negative 6 end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank divided by end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank presuperscript straight o end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight C end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank beta end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 12 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of negative 6 end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 24 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of negative 6 end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank divided by end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank presuperscript straight o end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight C end table end style

Ditanya :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell increment A end cell equals cell... ? end cell row A equals cell... ? end cell end table end style 

Jawab :

Pertambahan luas :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank increment end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank subscript o end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank beta end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank increment end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank T end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank increment end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1000 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 24 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of negative 6 end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 100 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank increment end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank cubed end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 24 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of negative 6 end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank increment end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 24 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of negative 1 end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank increment end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cm end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table end style

Luas akhir :

begin mathsize 14px style A equals A subscript o plus increment A A equals 100 plus 2 comma 4 A equals 102 comma 4 space cm squared end style

Jadi, pertambahan luasnya begin mathsize 14px style bold 2 bold comma bold 4 bold space bold cm to the power of bold 2 end style dan luasnya menjadi begin mathsize 14px style bold 102 bold comma bold 4 bold space bold cm to the power of bold 2 end style.

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