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Find the area of a cement walkway of width 2 meters around a 50 m by 25 m pool.

User Nvvetal
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Answer:

316 m²

Explanation:

The centerline length of the walkway is 2×(52 m +27 m) = 158 m.

The area is the product of the walkway's centerline length and its width:

A = (158 m)(2 m) = 316 m²

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More detail on this approach

The centerlines of the long-side walkways are 25 m + 1 m + 1 m = 27 m apart. The centerlines of the short-side walkways are 50 m + 1 m + 1 m = 52 m apart.

The total length of the centerline is the perimeter of a 27 m by 52 m rectangle:

P = 2(L+W) = 2(52 m +27 m) = 158 m

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Usual approach

The area with the walkways is 54 m by 29 m = 1566 m². The area without the walkways is 50 m by 25 m = 1250 m². The difference is the area of the walkway, 1566 -1250 = 316 square meters.

User Peter Kota
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