Question

solving a two - step word problem involving the area of a rectangle
deon wants to replace the wooden floor at his gym. the floor is in the shape of a rectangle. its length is 45 feet and its width is 35 feet. suppose wood flooring costs $9 for each square foot. how much will the wood flooring cost for the floor?

Explanation:

Step1: Calculate the area of the rectangular floor.

The formula for the area of a rectangle is \( A = l \times w \), where \( l \) is the length and \( w \) is the width. Given \( l = 45 \) feet and \( w = 35 \) feet, we substitute these values into the formula:
\( A = 45 \times 35 \)
\( A = 1575 \) square feet.

Step2: Calculate the total cost of the wood flooring.

The cost per square foot is $9. To find the total cost, we multiply the area by the cost per square foot:
Total Cost \( = 1575 \times 9 \)
\( = 14175 \) dollars.

Answer:

The wood flooring will cost $14175.