SOLUTION: Ellen wants to build a sidewalk of uniform width around her pool. Her pool is rectangular, and its dimensions are 60 feet by 50 feet. She has enough pavers to cover 1000 square fee
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Question 1021404: Ellen wants to build a sidewalk of uniform width around her pool. Her pool is rectangular, and its dimensions are 60 feet by 50 feet. She has enough pavers to cover 1000 square feet and wants to use all the pavers.
Complete the following statement. Round to the nearest tenth.
Ellen should make the width of the sidewalk _____ feet. Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39630) (Show Source):
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Ellen wants to build a sidewalk of uniform width around her pool. Her pool is rectangular, and its dimensions are 60 feet by 50 feet. She has enough pavers to cover 1000 square feet and wants to use all the pavers.
Complete the following statement. Round to the nearest tenth.
Ellen should make the width of the sidewalk _____ feet.
Let uniform width be W
Then longer dimension of structure (pool and sidewalk) = 60 + 2W
Shorter dimension of structure (pool and sidewalk) = 50 + 2W
We then get: (60 + 2W)(50 + 2W) – 60(50) = 1,000 }
Using the quadratic equation formula, we get: width of sidewalk = 4.221, or OR - 59.2 (ignore)
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