14.2k views
0 votes
Carpet sells for $2 per square foot and will cost you $312 to recarpet your rectangular room. If your room is 12 feet long, how many feet wide is it?

User Yshmarov
by
7.1k points

1 Answer

4 votes

Answer:

The room is 13 feet wide.

Explanation:

Calculate for the Area of the room by dividing the cost by the price per square foot.

Area = $312 ÷ $2

Area = 156 ft²

Area of a rectangle = length x width

A = lw

Since we're given with 12 ft as the length then we can solve for the width 'w'

A = lw

Substitute

A = 156

l = 12

156 = 12w

Divide both sides of the equation by 12

156/12 = 12w/12

13 = w

w = 13ft

User Sergio Viudes
by
8.5k points