A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 ft, and the sum of the lengths of the painted sides is 37 ft, then what is the area of the parking space in square feet?
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A.
126 ft²
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B.
81 ft²
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C.
252 ft²
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D.
46 ft²
Correct Answer:
A. 126 ft²
Explanation:
A rectangular parking space has four sides. In this scenario, three sides are painted while one side remains unpainted. The unpainted side is given as 9 feet. Because the space is a rectangle, the side opposite the unpainted 9-foot side must also be 9 feet. This means one of the painted sides is 9 feet.
The total length of the three painted sides is 37 feet. Subtracting the known painted side (9 feet) from this total leaves 28 feet for the remaining two painted sides. These two sides are the equal lengths of the rectangle. Dividing 28 feet by 2 results in 14 feet for each of those sides.
To find the area of the rectangle, multiply the length by the width: 9 feet multiplied by 14 feet equals 126 square feet. Therefore, the area of the parking space is 126 square feet.
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