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Question

Difficulty: EasyRectangular Area Applications

A homeowner is buying new carpet for a rectangular bedroom that measures 1515 feet long and 1212 feet wide. If the carpet costs 55 dollars per square foot, what is the total cost, in dollars, of the carpet?

  1. 900Answer
  2. B
    270
  3. C
    90
  4. D
    36

Answer

The total cost of the carpet is 900900 dollars.
The total area of the floor is found by multiplying the length by the width (15×12=18015 \times 12 = 180 square feet). Since the carpet costs 55 dollars per square foot, the total cost is the area multiplied by the unit price (180×5=900180 \times 5 = 900).

Step-by-Step Solution

1
Calculate the total area of the rectangular bedroom.
15×12=18015 \times 12 = 180 square feet
The cost of the carpet is based on the floor area it covers, which is found by multiplying length by width.
2
Calculate the total cost by multiplying the area by the price per square foot.
180×5=900180 \times 5 = 900
Each square foot costs 55 dollars, so the total cost is the area times the unit rate.

Key Concept

Calculating the area of a rectangle and using it to find a total cost based on a unit rate.
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Topics

Rectangular Area Applications

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