SOLUTION: A rectangular swimming pool is twice as long as it is wide. A small walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the d
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Question 87920: A rectangular swimming pool is twice as long as it is wide. A small walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.:
Answer by SandySharma(35) (Show Source): You can put this solution on YOUR website!
Let the width of the rectangular swimming pool be x
so, length will be 2x.
Area of walkway = area of outer rectangle - area of inner rectangle
area of outer rectangle =
area of inner rectangle =
Area of walkway =
After simplification ,you will get
Area of walkway =
Given, area of walkway = 196
12x +16 =196
subtract 16 from both sides, you will get
12x= 180
divide by 12
x=15 ft.
Answer: width = 15 ft.; length = 30 ft.
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