Question

if two similar rectangles have a scale factor of 5:2 and the area of the smaller rectangle is 45 cm^2, what will be the area of the larger rectangle?

Answer 1

281.25 cm^2

Explanation:

Given that,

The scale factor of Two similar triangles = 5:2

Area of the smaller rectangle = 45 cm^2

To find,

The Area of the larger rectangle = ?

Procedure:

As we know, similar triangles have similar ratios of sides. Thus, this can be written in proportion with the sides' ratio to the left while ratio of areas on the right.

(5)^2/(2)^2 = a/45

∵ The area of the larger rectangle = 25/4 * 45

= 281.25 cm^2