Question

Sabrina has a rectangular swimming pool in her backyard. She fills it with water to the depth of 4 feet. The water in the pool has a volume of 1600 cubic feet. What are the possible dimensions of the swimming pool with the given depth? Select ALL that apply. WHAT IS THE ANSWER????? PRETTY PLS AND THANK YOU

Answer 1

Answer: $20\times 20, 16\times 25, 10\times 40$

Step-by-step explanation:

Given

The volume of the pool is $1600\ ft^3$

Depth of water is $d=4\ ft$

Suppose A is the base of the pool

$\Rightarrow V=A\times d\\\Rightarrow 1600=A\times 4\\\Rightarrow A=400\ ft^2$

This area can be written as

$\Rightarrow A=10\ ft\times 40\ ft\ or\\\Rightarrow A=16\ ft\times 25\ ft\ or\\\Rightarrow A=20\ ft\times 20\ ft$