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A rectangle room measures 14 feet { \times } 12 feet. Find the cost of installing a strip of...

Question:

A rectangle room measures 14 feet {eq}\times {/eq} 12 feet. Find the cost of installing a strip of wallpaper around the room if the wallpaper costs $0.90 per sq.foot.

Area of a Rectangle:

{eq}\\ {/eq}

A rectangle is a two-dimensional shape in which both the opposite sides are of equal length and each angle is a right-angle. The area of a rectangle is defined as a product of its length and width. To determine the cost of installing a strip of wallpaper, first of all, we will determine the total area on which we have to put the wallpaper then we will calculate the cost.

{eq}\text {Area of a Rectangle} = \text {Length} \times \text {Width} {/eq}

Answer and Explanation:

{eq}\\ {/eq}

The dimensions of the rectangle are {eq}\; = 14 \; \text {feet} \; \times \; 12 \; \text {feet} {/eq}.

The area of the rectangle is {eq}\; = \text {A} = 14 \times 12 {/eq}

{eq}\text {A} = 168 \; \text {feet}^{2} {/eq}

The cost of putting wallpaper is {eq}\; = $ 0.90 \; \text { square per foot} {/eq}

Finally, the total amount of money that will be required to install a strip:

{eq}\text {Total Cost} = \text {Cost of putting wallpaper on one Wall} \times \text {Area of one wall} \times 0.90 {/eq}

{eq}\text {Total Cost} = 4 \times \text {A} \times 0.90 {/eq}

{eq}\Longrightarrow \boxed {\text {Total Cost} = 4 \times 168 \times 0.90 = $ 604.8 } {/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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