The figure above represents a rectangular park with a sidewalk surroun
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30 Jan 2023, 10:52
OE
The region represented by the smaller rectangle is the park. The sidewalk is the shaded region all around it. Because the sidewalk is 5 feet wide, the larger rectangle (including the sidewalk) is 10 feet longer and wider than the park itself. Therefore, the larger rectangle, which includes both the sidewalk and the park, is 160 feet long and 100 feet wide. The area covered by the sidewalk alone can be found by subtracting the area of the larger rectangle from that of the smaller rectangle:
Larger rectangle area: 160 x 100 = 16,000
Smaller rectangle area: 150 x 90 = 13,500
The sidewalk therefore covers a total area of 16,000 - 13,500 = 2,500.