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Pertanyaan

The length of a rectangle exceeds its width by 6 units. If each dimension were increased by 3 units, the area would be increased by 57 square units. Find the dimensions of the original rectangle.

The length of a rectangle exceeds its width by 6 units. If each dimension were increased by 3 units, the area would be increased by 57 square units. Find the dimensions of the original rectangle.

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N. Puspita

Master Teacher

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Pembahasan

Pembahasan
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Asumsikan : Panjang = Lebar = Maka lebarnya : Panjangnya : Maka, panjangawal persegi panjang tersebut adalah dan lebarnya .

Asumsikan :

Panjang = italic p equals italic l plus 6
Lebar = italic l

Maka lebarnya :

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses italic p plus 3 close parentheses cross times open parentheses italic l plus 3 close parentheses end cell equals cell open parentheses italic p cross times italic l close parentheses plus 57 end cell row cell open parentheses italic l plus 6 plus 3 close parentheses cross times open parentheses italic l plus 3 close parentheses end cell equals cell open parentheses open parentheses italic l plus 6 close parentheses cross times italic l close parentheses plus 57 end cell row cell open parentheses italic l plus 9 close parentheses cross times open parentheses italic l plus 3 close parentheses end cell equals cell italic l squared plus 6 italic l plus 57 end cell row cell italic l squared plus 12 italic l plus 27 end cell equals cell italic l squared plus 6 italic l plus 57 end cell row cell italic l squared minus sign italic l squared plus 12 italic l minus sign 6 italic l end cell equals cell 57 minus sign 27 end cell row cell 6 italic l end cell equals 30 row italic l equals 5 end table

Panjangnya :

table attributes columnalign right center left columnspacing 0px end attributes row italic p equals cell italic l plus 6 end cell row blank equals cell 5 plus 6 end cell row blank equals 11 end table

Maka, panjang awal persegi panjang tersebut adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 11 space square space units end cell end table dan lebarnya 5 space square space units.

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