Question

3. A store has two square rugs on sale. Thearea of the smaller rug is 52 square feet. Thesides of the larger rug are 1.5 times the length ofthe sides of the smaller rug. Which of thefollowing is closest to the area of the larger rug?A. 65 sqftB. 78 sqftC. 117 sqft

Answer 1

C. 117 sqft

Explanation:

Square:

A square has side s.

It's are is given by:

A = s²

In this question:

A = s² = 52.

Larger rug:

Sides 1.5 times the smaller rug.

So

A = (1.5s)² = (1.5)²*s² = 2.25s²

Since s² = 52.

A = 2.25s² = 2.25*52 = 117

The answer is C. 117 sqft