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Keliling persegi panjang 36 cm, jika panjangnya sama dengan dua kali lebarnya, maka luas persegi panjang adalah........

Rani Maharani

Soal

Diketahui:

Keliling persegi panjang = 36 cm
Panjang = 2 x Lebar

Ditanyakan:

Luas persegi panjang = ?

Rumus:

Keliling persegi panjang = 2 x (Panjang + Lebar)
Luas persegi panjang = Panjang x Lebar

Substitusi:

Keliling = 2 x (2l + l) = 6l
6l = 36 cm
l = 6 cm
p = 2 x l = 2 x 6 cm = 12 cm
Luas = p x l = 12 cm x 6 cm = 72 cm²

Jadi, luas persegi panjang dengan keliling 36 cm dan panjang yang sama dengan dua kali lebarnya adalah 72 cm².

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