Question

A rectangular living room measures 6 by 12 feet. At $36 per square yard, how much will it cost to carpet the room?

Answer 1

It will cost $288 to carpet the living room at $36 per square yard.

Explanation:

First, we need to convert the room dimensions to square yards, since the carpet price is given in square yards.

The area of the living room is:

`\sf:\implies 6\: ft * 12\: ft = 72\: ft^2`

To convert this to square yards, we divide by 9 (since there are 9 square feet in a square yard):

`\sf:\implies (72\: ft^2)/(9) = 8\: yards^2`

So the living room is 8 square yards in area.

To find the cost of carpeting the room, we multiply the area by the cost per square yard:

`\sf:\implies 8\: yards^2 * \$36/square\: yard = \boxed{\bold{\:\:\$288\:\:}}\:\:\:\green{\checkmark}`

Therefore, it will cost $288 to carpet the living room at $36 per square yard.

Answer 2

First, we need to determine the area of the living room in square feet, which can be calculated by multiplying the length by the width:

Area = length x width = 6 feet x 12 feet = 72 square feet

Since carpet is usually priced by the square yard, we need to convert the area from square feet to square yards. There are 9 square feet in 1 square yard, so:

Area in square yards = 72 square feet / 9 = 8 square yards

Now, we can calculate the total cost of carpeting the living room by multiplying the area in square yards by the price per square yard:

Cost = area in square yards x price per square yard = 8 square yards x $36 per square yard = $288

Therefore, it would cost $288 to carpet the living room.