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Each side of a square office is $7$ yards long. It will cost $\$27.00$ per square yard to replace the carpet in the office. What would be the total cost to replace the carpet? $\newline$ $\$$ _____

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Area and perimeter: word problems

Full solution

Q. Each side of a square office is

7

yards long. It will cost

\$27.00

per square yard to replace the carpet in the office. What would be the total cost to replace the carpet?

\newline

\$

_____

Calculate Area of Square: Calculate the area of the square office. $\newline$ Since the office is a square, the area is found by squaring the length of one side. $\newline$ Area = side length $\times$ side length $\newline$ Area = $7$ yards $\times$ $7$ yards $\newline$ Area = $49$ square yards
Calculate Total Cost: Calculate the total cost to replace the carpet. $\newline$ The cost to replace the carpet is the area of the office multiplied by the cost per square yard. $\newline$ Total cost $= \text{Area} \times \text{Cost per square yard}$ $\newline$ Total cost $= 49 \text{ square yards} \times \$(27.00) \text{ per square yard}$ $\newline$ Total cost $= \$(\(1\),\(323\).\(00\))

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