Answer:
The length and width of the pool = 24 ft and 16 ft
Explanation:
Let length of pool be l and width of pool be w.
A pool in the shape of a rectangle has a perimeter of 80feet.
Perimeter of pool = 2 x ( l + w ) = 80 feet
That is
l + w = 40 ft -----------------------------------eqn 1.
The pool is 8 feet less wide than it is long.
l = 8 + w
l - w = 8 ft -----------------------------------eqn 2.
eqn 1 + eqn 2
2 l = 48
l = 24 ft
Substituting
24 + w = 40
w = 16 ft
The length and width of the pool = 24 ft and 16 ft