Multiple choice

A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, what is the area of the parking space in square feet?

  1. 46

  2. 81

  3. 126

  4. 252

  5. 37
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let sides be L and W. Painted sides = L + W + L = 2L + W = 37. Unpainted side = W = 9. 2L + 9 = 37 => 2L = 28 => L = 14. Area = L * W = 14 * 9 = 126.

AI explanation

The side parallel to the unpainted side must also measure 9 feet to form the rectangle. Subtracting this from the total painted length of 37 feet leaves 28 feet for the two painted widths combined, meaning one width is 14 feet. The area formula of length times width gives 9 times 14, which equals 126 square feet.

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