Answer:
The smaller dimension of the pool is 14 ft.
The larger dimension of the pool is 35 ft.
Explanation:
We are told that:
The rectangular swimming pool is 6 ft deep. Thus, depth: h = 6 ft
One side of the pool is 2.5 times longer than the other.
Thus, length = 2.5(width)
l = 2.5w and width = w
Volume; V = lwh = (2.5w × w × 6) = 15w²
The amount of water needed to fill the swimming pool is 2940 cubic feet.
Thus;
15w² = 2940
w² = 2940/15
w² = 196
w = √196
w = 14 ft
Length: L = 2.5w = 2.5 × 14 = 35 ft