Question

While comparing costs for a home renovation, you realize that wood and tile are priced per square foot while carpet is often priced per square yard. (A.) if one type of carpet costs $40.50 per square yard, how much is it per square foot? (B.) if a room has an area of 108 ft squared, what is it’s area in square yards?

Answer 1

The price per square foot = $4.50 per square foot.

The area in square yards = 12 square yards.

Step-by-step explanation:

(A.) To convert the price of carpet from square yard to square foot, we need to know the conversion factor between square yards and square feet. There are 9 square feet in 1 square yard. So, to find the price per square foot, we divide the price per square yard by the conversion factor.

The price per square foot = $40.50 / 9 = $4.50 per square foot.

(B.) To convert the area of a room from square feet to square yards, we need to know the conversion factor between square feet and square yards. There are 9 square feet in 1 square yard. So, to find the area in square yards, we divide the area in square feet by the conversion factor.

The area in square yards = 108 / 9 = 12 square yards.