Question

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

Answer 1

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

Answer 2

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