Final answer:
The basketball court and playground area have the same area of 90 square feet, but the basketball court has a larger perimeter of 42 feet compared to the playground's perimeter of 38 feet.
Step-by-step explanation:
The area of the basketball court can be found by multiplying the length and width: 15 ft * 6 ft = 90 square feet. The perimeter can be found by adding up all the sides: 15 ft + 15 ft + 6 ft + 6 ft = 42 feet.
The area of the playground area can be found by multiplying the length and width: 10 ft * 9 ft = 90 square feet. The perimeter can be found by adding up all the sides: 10 ft + 10 ft + 9 ft + 9 ft = 38 feet.
Based on the calculations, the statement that is true about the area and perimeter of the two spaces is that both the basketball court and the playground area have the same area of 90 square feet, but the basketball court has a larger perimeter of 42 feet compared to the playground's perimeter of 38 feet.
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