Question

Two similar rectangles have a scale factor of 3:4.
The area of the smaller rectangle is 72 in?. What is the area of the larger rectangle?

Answer 1

Step-by-step explanation:

To find the area of the larger rectangle, we need to use the scale factor. Since the scale factor is 3:4, the area of the larger rectangle will be (4/3)^2 times the area of the smaller rectangle.

So, if the area of the smaller rectangle is 72 sq in, the area of the larger rectangle would be (4/3)^2 * 72 sq in.

Calculating that, we get:

(4/3)^2 * 72 = (16/9) * 72 = 128 sq in.

So, the area of the larger rectangle is 128 square inches.