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Samantha is buying a carpet for her bedroom floor, which is a 15-foot by 12-foot rectangle. If...

Question:

Samantha is buying a carpet for her bedroom floor, which is a 15-foot by 12-foot rectangle. If carpeting cost $1.2 per square foot, how much will it cost Samantha to carpet her bedroom?

Area of a Rectangle, {eq}A_\square {/eq}

The area of a rectangle is the product of the length and the width. The longer side of a rectangle is called the length, {eq}l {/eq}, while the shorter side is the width, {eq}w {/eq}, The SI derived unit for area is the square meter or {eq}m^2 {/eq}.

Answer and Explanation:

Samantha need to get the area of her bedroom floor first, before she can determine how much the carpeting would cost in total. Since her room is a 15-foot by 12-foot rectangle, then the area of the floor is:

{eq}A_\square= l\times w {/eq}

{eq}A_\square= 15 \times 12 = 180 {/eq}

The floor area is {eq}180 \rm \ ft^2 {/eq}.

Since the carpeting costs {eq}$1.2 \rm \ per \ ft^2 {/eq}, the to get the cost of the carpeting, multiply the unit ratio above with the total floor area:

{eq}\rm 180 \ ft^2 \times \ \dfrac {\$ 1.2}{ft^2} = \$ 216 {/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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