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Perhatikan gambar hasil dilatasi persegi panjang PQRS di bawah ini. Diketahui panjang PQ = 9 cm dan PS = 6 cm. jika OP = 3 2 ​ OP maka luas persegi panjang P’Q’R’S’ adalah …

Perhatikan gambar hasil dilatasi persegi panjang PQRS di bawah ini.

Diketahui panjang PQ = 9 cm dan PS = 6 cm. jika  maka luas persegi panjang P’Q’R’S’ adalah …

  1. 18 cm2

  2. 20 cm2

  3. 24 cm2

  4. 26 cm2

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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Pembahasan

Perhatikan gambar di bawah ini. Faktor dilatasi dari bidang PQRS ke P’Q’R’S’ adalah Maka Sehingga, Dan Jadi luas persegi panjang P’Q’R’S’ adalah

Perhatikan gambar di bawah ini.

 

Faktor dilatasi dari bidang PQRS ke P’Q’R’S’ adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell OP apostrophe end cell equals cell straight k times OP end cell row cell OP apostrophe end cell equals cell 2 over 3 OP end cell end table end style  

Maka begin mathsize 14px style k equals 2 over 3 end style 

Sehingga,

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight P end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank Q end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank apostrophe 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 straight k end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank PQ end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight P end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of apostrophe end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight Q end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of apostrophe 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 cell 2 over 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table 9 table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight P end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of apostrophe end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight Q end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of apostrophe end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table 6 end style       

Dan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight P end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of apostrophe end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight S end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of apostrophe 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 k end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times 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 S end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight P end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of apostrophe end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight S end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of apostrophe 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 cell 2 over 3 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 6 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight P end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of apostrophe end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight S end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of apostrophe 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 4 end table end style   


Jadi luas persegi panjang P’Q’R’S’ adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight P to the power of apostrophe straight Q to the power of apostrophe cross times straight P to the power of apostrophe straight S to the power of apostrophe end cell equals cell 6 space cm cross times 4 space cm end cell row blank equals cell 24 cm squared end cell end table end style 

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