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luas persegi panjang sama dengan luas persegi. jika keliling persegi 64cm dan lebar persegi panjang 8cm

Rani Maharani

Soal

luas persegi panjang sama dengan luas persegi. jika keliling persegi 64cm dan lebar persegi panjang 8cm, keliling persegi panjang adalah... cm

Pembahasan

Diketahui:

Luas persegi panjang = Luas persegi

Keliling persegi = 64 cm

Lebar persegi panjang = 8 cm

Ditanyakan:

Keliling persegi panjang = ?

Rumus:

Luas persegi = s x s

Keliling persegi = 4s

Luas persegi panjang = panjang x lebar

Keliling persegi panjang = 2(panjang + lebar)

Substitusikan nilai yang diketahui:

Luas persegi panjang = Luas persegi

p x 8 = s x s

64 = 4s

s = 16

Luas persegi = 16 x 16 = 256

Keliling persegi panjang = 2(p + 8)

Substitusikan nilai s yang sudah diketahui:

64 = 2(p + 8)

p + 8 = 32

p = 24

Keliling persegi panjang = 2(24 + 8) = 64 cm

Jadi, keliling persegi panjang adalah 64 cm.

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