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 os 361 square feet. What is the area of the pool

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.