Asquare 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?

Define x:

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


Given area = 361 ft², find x:

(x+2)² = 361
x+ 2 = √361
x + 2 = 19
x = 19 - 2
x = 17


Find Length of the pool:

Length of the pool = x = 17 feet


Find Area of the pool:

Area = 17 x 17 
Area = 289 ft²


Area of the pool = 289 ft²