Question

If ∆ABC ∼ ∆PQR such that AB = 1.8cm and PQ = 1.6 cm, what is the ratio of the areas of ∆ABC and ∆PQR.

Answer 1

81 / 64

Explanation:

The ratio of the areas can be obtained thus :

Area of ∆ABC / Area of ∆PQR

Area of ∆ABC / Area of ∆PQR = AB² / PQ²

AB = 1.8 ; PQ = 1.6

AB² / PQ² = 1.8² / 1.6²

= 18² / 16²

= 324 / 256

= 81 / 64