The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle A is 162 cm2.

What is the area of triangle B?

40.5 cm²

Step-by-step explanation:

Given the ratio of sides of 2 figures = a : b

then the ratio of areas = a² : b²

Here the ratio of Δ A : Δ B = 2 : 1, thus

ratio of areas = 2² : 1² = 4 : 1

That is the area of Δ A is 4 times area of Δ B, so

area of Δ B = 162 : 4 = 40.5 cm²