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Keliling suatu persegi panjang 28 cm. Jika panjangnya lebih panjang 2 cm dari lebarnya, luas persegi panjang tersebut adalah . . . .

Penyelesaian :

Misalkan panjang = p dan lebar = l, maka
p = l + 2.
Keliling persegi panjang = 28
2(p + l) = 28
(l + 2) + l = 28 : 2
2l + 2 = 14
2l = 14 – 2
l = 12 : 2 = 6 cm
p = 6 + 2 = 8 cm
Luas persegi panjang = p × l
= 8 cm × 6 cm
= 48 cm2
Jadi, luas persegi panjang tersebut adalah
48 cm2.

Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013

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