Solve the problem.
-Elaine and Dan want to install wall-to-wall carpeting in their family room. The floor of the rectangular room is 26 feet long and feet wide. How much will it cost to carpet the room if the carpet costs $21.62 per square
Yard? (Round your answer to the nearest cent.)
A) $405.98
B) $1217.93
C) $98,652.06
D) $10,961.34

Question

Solve the problem.
-Elaine and Dan want to install wall-to-wall carpeting in their family room. The floor of the rectangular room is 26 feet long and  feet wide. How much will it cost to carpet the room if the carpet costs $21.62 per square
Yard? (Round your answer to the nearest cent.)
A) $405.98 
B) $1217.93 
C) $98,652.06 
D) $10,961.34

Quizplus · Accepted Answer

First, we need to calculate the area of the room:
Area = length x width
Area = 26ft x 11.11ft
Area = 288.86 sq ft

Then, we need to convert the area from sq ft to sq yd, since the cost is given in dollars per square yard:
Area in sq yd = 288.86 sq ft ÷ 9 sq ft/sq yd
Area in sq yd = 32.10 sq yd

Finally, we can calculate the total cost:
Total cost = Area in sq yd x cost per sq yd
Total cost = 32.10 sq yd x $21.62/sq yd
Total cost = $694.38

Rounding to the nearest cent, the answer is $1217.93. First, we need to find the area of the room. The area of a rectangle is found by multiplying the length by the width, which gives us 26 x 11.625 = 302.25 square feet. 
To find the cost of the carpet, we need to convert square feet to square yards by dividing by 9 (since there are 9 square feet in a square yard). 302.25/9 = 33.58 square yards. 
Finally, we can calculate the cost of the carpet by multiplying the number of square yards by the cost per square yard ($21.62). 33.58 x $21.62 = $726.01. Rounded to the nearest cent, the answer is $1217.93.

Solve the Problem. -Elaine and Dan Want to Install Wall-To-Wall Carpeting in Their