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Difficulty: EasyRectangular Area Applications

An interior designer is planning to cover a rectangular accent wall with custom wallpaper. The wall measures 15 feet15\text{ feet} in width and 8 feet8\text{ feet} in height. If the wallpaper costs $4\$4 per square foot, what is the total cost, in dollars, of the wallpaper needed for this wall?

Answer: 480 dollars

Answer

480
The wall is a rectangle, so its area is found by multiplying the width (15 feet15\text{ feet}) by the height (8 feet8\text{ feet}), which equals 120 square feet120\text{ square feet}. Since the wallpaper costs $4\$4 per square foot, multiplying the total area by the rate (120×4120 \times 4) gives a total cost of $480\$480.

Step-by-Step Solution

1
Calculate the area of the rectangular wall.
15×8=120 square feet15 \times 8 = 120\text{ square feet}
The area determines how much surface the wallpaper needs to cover.
2
Calculate the total cost of the wallpaper.
120×4=480 dollars120 \times 4 = 480\text{ dollars}
Multiplying the total square footage by the cost per square foot provides the final amount.

Key Concept

Calculating rectangular area and applying a unit cost rate.
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Topics

Rectangular Area Applications

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