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Question

Difficulty: EasyRectangular Area Applications

A local sports center is installing a new rectangular practice mat for gymnastics. The designated floor space is 4040 feet long and 2020 feet wide. If the specialized foam matting costs $5\$5 per square foot, what is the total cost to cover this floor space?

  1. A
    $400\$400
  2. B
    $600\$600
  3. C
    $800\$800
  4. $4,000\$4,000Answer

Answer

The total cost to cover the floor space is $4,000\$4,000.
To find the total cost, we first need to determine the total amount of matting required by calculating the area of the rectangular space. The area is found by multiplying the length by the width: 40×20=80040 \times 20 = 800 square feet. Then, we multiply this total area by the cost of the matting per square foot: 800 square feet×$5 per square foot=$4,000800 \text{ square feet} \times \$5 \text{ per square foot} = \$4,000.

Step-by-Step Solution

1
Calculate the area of the rectangular floor space.
40 feet×20 feet=800 square feet40 \text{ feet} \times 20 \text{ feet} = 800 \text{ square feet}.
The cost of the matting is priced per square foot, so you must first determine the total area of the floor space.
2
Calculate the total cost by multiplying the area by the price per square foot.
800 square feet×$5/square foot=$4,000800 \text{ square feet} \times \$5/\text{square foot} = \$4,000.
Multiplying the total square footage by the cost per unit of area gives the total expense.

Key Concept

Calculating the area of a rectangle to determine total material costs based on a unit rate.
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Topics

Rectangular Area Applications

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