Question

Carpet costs $12$12 per square yard. How much will it cost to carpet a room that is 180180 square feet?

Answer 1

It will cost $240 to carpet a room that is 180 square feet.

Explanation:

A carpet cost $12 per square yard. How much will it cost to carpet a room that is 180 square feet?

We can use proportion to solve these problem.

But first we need to convert either the feet to yard or yard to feet, they must all have the same.

In our own case, we will change the square yard to square feet.

1 square yard = 9 square foot

We can now proceed to find the cost of 180 square feet

Let x be the cost of 180 square feet

$12 = 9 square foot

x = 180 square foot

Cross -multiply

9 × x = 180 × 12

9x = 2160

Divide both-side of the equation by 9

`(9x)/(9)` =
`(2160)/(9)`

x =$240

Therefore, It will cost $240 to carpet a room that is 180 square feet.

Answer 2

The solution would be like this for this specific problem:

1 sq. yd = 9 sq. ft

180 sq. ft = 20 sq. yd

20 sq. yd * $12 = $240

So it will cost $240 to carpet a room that is 180 square feet.