A square pool has a side length of x feet.A uniform border around pool is 1 footwide.The total area of the pool and the border o s 361 square feet.What is the area of the pool
1 answer:
The total area of pool and border = 361 square feet. Length of square pool = x Length of square pool plus border = (x + 1 +1 ) = x + 2 There is 1 foot length on each side on the x length. The other length of the square pool and border = (x + 2) Area = (x+2)(x+2) (x + 2)(x +2) = 361. Let A = x +2 A*A = 361 A² = 361 Take square root of both sides A = √361 A = 19 A = x + 2 = 19 x = 19 - 2 x = 17 Area of square pool = x*x = 17*17 = 289 Area of the pool = 289 square feet.
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