Question

A square pool has a side length of x feet. a uniform border around the pool is 1 foot wide. the total area of the pool and the border is 361 square feet. what is the area of the pool?

Answer 1

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Define x:
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Let x be the length of the pool.

Length of the pool and its border = x + 1 + 1
Length of the pool and its border = x + 2

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Given area = 361 ft², find x:
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(x+2)² = 361
x+ 2 = √361
x + 2 = 19
x = 19 - 2
x = 17

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Find Length of the pool:
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Length of the pool = x = 17 feet

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Find Area of the pool:
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Area = 17 x 17
Area = 289 ft²

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Answer: Area of the pool = 289 ft²
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