Sondra's room is 15 feet long by 8 feet wide. She is putting carpet in the room. It costs $3.75...

Question:

Sondra's room is 15 feet long by 8 feet wide. She is putting carpet in the room. It costs $3.75 per square foot. How much will it cost to carpet Sondra's room?

The Area of a Rectangle:

  • Rectangle: A rectangle is a geometrical figure with two pairs of parallel sides and four right angles. The opposite sides of a rectangle are equal, but the adjacent sides are not. An example of a rectangle is a four by 6 picture frame.
  • Area: The area of a rectangle is the amount of space covered by the figure. We calculate the area of a rectangle using the formula {eq}A = l\times w {/eq}.

Answer and Explanation:


The area of a rectange is calculated as:

  • {eq}A = l\times w {/eq}, where {eq}l {/eq} is the length and {eq}w {/eq} is the width.

If Sandra's room is {eq}l= 15\; \rm ft {/eq} long and {eq}w = 8\; \rm ft {/eq} wide, the area of the room is:

  • {eq}A = 15\; \rm ft\times 8\; \rm ft = 120 \; \rm ft^2 {/eq}

If Sandra is putting a carpet in her room and it costs $3.75 per square foot, then the cost of the whole carpet is:

  • {eq}C = \$3.75\times 120 {/eq}
  • {eq}\boxed{\color{blue}{C = \$450}} {/eq}

Learn more about this topic:

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Measuring the Area of a Rectangle: Formula & Examples

from Geometry: High School

Chapter 8 / Lesson 7
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