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The figure above represents a rectangular park with a sidewalk surroun
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05 Jan 2023, 00:39
05 Jan 2023, 00:39
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GRE The figure above represents a rectangular park with.jpg [ 29.05 KiB | Viewed 1170 times ]
The figure above represents a rectangular park with a sidewalk surrounding it. The park is 150 feet long and 90 feet wide, not including the sidewalk. The sidewalk is 5 feet wide all the way around. The area of the sidewalk alone is how many square feet?
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2,500
The figure above represents a rectangular park with a sidewalk surroun
[#permalink]
30 Jan 2023, 10:52
30 Jan 2023, 10:52
Expert Reply
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.
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.
gmatclubot
The figure above represents a rectangular park with a sidewalk surroun [#permalink]
30 Jan 2023, 10:52
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