The area of the rectangular playground = 22,500 ft².
<h3>How to Find the Area and Perimeter of a Rectangle?</h3>
Perimeter of a rectangle = 2(length + width)
Area of a rectangle = (length)(width).
Let "w" represent the width of the rectangular playground. Therefore:
Width of the rectangular playground = w feet
Length of the rectangular playground = (2w + 25) feet
Perimeter of the rectangular playground = 650 feet
Find w using the perimeter formula
2((2w + 25) + w) = 650
2(3w + 25) = 650
6w + 50 = 650
6w = 650 - 50
6w = 600
w = 100
Width of the rectangular playground = w = 100 feet
Length of the rectangular playground = (2w + 25) = 2(100) + 25 = 225 feet.
Area of the rectangular playground = (225)(100) = 22,500 ft²
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