Question

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

4 cm
12 cm
A = 10 cm
Area =
cm2

Answer 1

Answer is 90

Explanation:

I had this homework and got it right

Answer 2

90 cm²

Explanation:

Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.

Let the area of the other triangle be x. Therefore:

`(10)/(x) = (4^2)/(12^2)`

`(10)/(x) = (16)/(144)`

Cross multiply

`10*144 = 16*x`

`1440 = 16x`

Divide both sides by 16

90 = x

Area of the other polygon = 90 cm²