Diketahui luas sebuah persegipanjang adalah 96 cm persegi. Jika lebar persegi panjang 2/3 ( dua per tiga ) kali panjangnya, tentukan ukuran panjang dan lebar persegipanjang tersebut!
Takamori37
L = p x l = 96 Dan, 2/3 p = l Maka, p x 2/3 p = 96 2/3 p^2 = 96 p^2 = 96 x 3/2 p^2 = 144 p = 12 Dan, l = 2/3 p = 2/3 x 12 = 8 Jadi, Panjang = 12 cm Lebar = 8 cm
Dan,
2/3 p = l
Maka,
p x 2/3 p = 96
2/3 p^2 = 96
p^2 = 96 x 3/2
p^2 = 144
p = 12
Dan,
l = 2/3 p = 2/3 x 12 = 8
Jadi,
Panjang = 12 cm
Lebar = 8 cm
p = p
l = 2/3 p
L = p*l
96 = p*2/3p
2/3p^2 = 96
lakukan perkalian silang
p^2 = 96*3/2
p^2 = 144
p = akar 144 = 12 --> panjangnya
l = 2/3p
l= 2/3*12 = 8 -->lebarnya