SOLUTION: A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a constant 2 feet wide. 1. Label the dimensions of the ed

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Question 1130470: A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a constant 2 feet wide.
1. Label the dimensions of the edge of the pool and the edges of the walkway.
2. Write an expression that represents the area of the pool and walkway combined.
3. Write an expression that represents the area of the poo only.
4. Using question 2 and 3 write and expression that represents the area of the walkway only.
5. If the walkway has an area of 196 square feet, determine the dimensions of the pool.
6. What is the area and the perimeter of the pool.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w, width
2w, length

Pool covers flat area of 2w%5E2.

Pool plus the walkway cover area of %282w%2B2%2A2%29%28w%2B2%2A2%29
or
%282w%2B4%29%28w%2B4%29.

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If the walkway has an area of 196 square feet, determine the dimensions of the pool.
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The walkway area would be %282w%2B4%29%28w%2B4%29-2w%5E2,
2w%5E2%2B12w%2B16-2w%5E2
12w%2B16
Given as 196 square feet,
12w%2B16=196
highlight_green%283w%2B4=49%29
3w=45
highlight%28w=15%29

Pool width, 15
Pool length, 30