The length of a swimming pool is 8m longer than its width and the area is 1o5m2?

Let the breadth be x

length=x+8

according to the question

area of the pool = l*b

105=x*x+8

if u solve this equation further u will get the answer

length = w + 8 and width = w and A = 105

A = W * L

105 = w (w + 8)

105 = w² + 8w

0 = w² + 8w - 105

0 = (w + 15) (w - 7)

0 = w + 15 or 0 = w - 7

w = - 15 or w = 7

width cant be negative, so

w = 7 and L = 7 + 8

w = 7 and L = 15

7 * 15 = 105 check