diketahui diagonal layang layang berbanding 4:5 bila luas layang layang 90cm, tentukan panjang masing masing diagonal

D1 = 4n

D2 = 5n

L = D1 × D2 ÷ 2

90 cm = 4n × 5n ÷ 2

90 cm = 2n × 5n

90 cm = 10n

n = 90 ÷ 10

n = 9 cm (diakarkan pangkat 2)

n = 3 cm

jdi

D1 = 4n = 4 × 3 = 12 cm

D2 = 5n = 5 × 3 = 15 cm

Luas = 1/2 x d1 x d2
90 cm = 1/2 (4x) (5x)
180 cm = 20 x²
9 cm = x²
x = 3 cm
Panjang diagonal 1 = 4x
= 4.3 cm
= 12 cm
Panjang diagonal 2 = 5x
= 5.3 cm
= 15 cm