Question

What is the area of rectangle qrst if the area of rectangle defg is 108 cm and the scale factor is 3/4?

Answer 1

1. You have that the area of the rectangle defg is 108 cm² and the scale factor is 3/4. Therefore, the scale factor of the area of the rectangle defg is:

=(3/4)²
=9/16

2. Keeping this on mind, you have that the area of the rectangle qrst is:

A2=A1x16/9
A2=(108 cm²x16)/9
A2=1728 cm²/9
A2=192 cm²

The answer is: The area of the rectangle qrst is 192 cm².