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Difficulty: EasyRectangular Area Applications

A community center is installing a protective rubber surface on a rectangular play area. The play area is 20 feet20\text{ feet} long and 15 feet15\text{ feet} wide. If the rubber surface material costs $5.00\$5.00 per square foot, what is the total cost of the material?

  1. A
    \$150
  2. B
    \$300
  3. C
    \$350
  4. \$1,500Answer

Answer

\$1,500
To find the total cost, first calculate the area of the rectangular space by multiplying the length by the width (20×15=300 square feet20 \times 15 = 300\text{ square feet}). Then, multiply the total square footage by the cost per square foot (300×5=1,500300 \times 5 = 1,500).

Step-by-Step Solution

1
Calculate the total area of the rectangular play area.
Area=20 feet×15 feet=300 square feet\text{Area} = 20\text{ feet} \times 15\text{ feet} = 300\text{ square feet}
The cost of the material is based on the square footage required to cover the surface, so the area must be determined first.
2
Multiply the total area by the cost per square foot to find the total cost.
Total Cost=300 sq ft×$5.00/sq ft=$1,500\text{Total Cost} = 300\text{ sq ft} \times \$5.00/\text{sq ft} = \$1,500
This determines the final price by scaling the calculated area by the given unit cost.

Key Concept

Calculating the area of a rectangle and applying unit rates to find a total cost.
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Topics

Rectangular Area Applications

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