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

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}