Question Number 22 You work for a company that manufactures large tarps used for groundcover. An order was placed for a rectangular tarp that will be made up of 8 strips of fabric. Each strip is 26 inches wide and 634 feet long. What is the area of the finished tarp in square yards? Round your answer to the nearest hundredth.

Respuesta :

Answer: the area of the finished tarp is 131872 square inches

Step-by-step explanation:

Search strip of tarp is rectangular. The formula for determining the area of a rectangle is expressed as

Area = length × width

An order was placed for a rectangular tarp that will be made up of 8 strips of fabric. Each strip is 26 inches wide and 634 feet long. The area of each strip of tarp is

Area = 26 × 634 = 16484 square inches

Therefore, the area of the finished tarp would be

8 × 16484 = 131872 square inches

Answer: B) 1,221.04

Step-by-step explanation:

First, you must convert the width of each strip into feet. Since there are 12 inches in one foot, it follows that 26 inches equals 26 in.12 in. per ft. = 2 212 ft. = 2 16 feet. This is the width of one strip of fabric. The width of 8 strips combined is the width of the actual tarp; this is 8 × (2 16 ft.) = 8 × 136 ft. = 523 ft. = 17 13 feet. Next, because we are told that the tarp is rectangular, the area of the tarp is length × width = 17 13 ft. × 634 ft. = 10,989 13 square feet. Finally, divide 10,989 13 square feet by 9 square yards per square foot to determine the size of the tarp in square yards:

{{{\text{10989}}{{\text{1}} \over {\text{3}}}{\text{ft}}{{\text}^2}} \over {{\text{9 yd}}{{\text}^{\text{2}}}{\text{ per ft}}{{\text}^{\text{2}}}}} = 1,221.04 square yards.

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