A backyard pool has a concrete walkway around it that is 5 feet wide on all sides. The total are of the pool and the walkway is 950 feet. If the length of the pool is 6 feet longer than the width, find the dimensions of the pool.

Step-by-step explanation:

Pool:

Width = x ft

Length = (x+6) ft

Pool along with walkway:

Width = x + 5 + 5 = (x + 10) ft

Length = x + 6 + 5 + 5 = (x + 16) ft

Total area of the pool with walkway = 950 sq.ft

length * width = 950

(x+16) * (x + 10) = 950

Use FOIL method,

x*x + x *10 + 16*x + 16 *10 = 950

x² + 10x + 16x + 160 -950 = 0   {Add like terms}

x² + 26x - 790 = 0

9x