asked 45.1k views
5 votes
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

asked
User Noziar
by
7.8k points

1 Answer

6 votes

Answer:
20* 20, 16* 25, 10* 40

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* d\\\Rightarrow 1600=A* 4\\\Rightarrow A=400\ ft^2

This area can be written as


\Rightarrow A=10\ ft* 40\ ft\ or\\\Rightarrow A=16\ ft* 25\ ft\ or\\\Rightarrow A=20\ ft* 20\ ft

answered
User Fatih
by
7.6k points
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