Asked by Jenna
The deck around a swimming pool has the same width all the way around. The perimeter of the pool is 50m. The outside perimeter of the deck is 74m. What is the width of the deck
Answers
Answered by
MathMate
If the length and width of the pool are L and W, and the width of the path is w, then
perimeter of the pool = 2(W+L)
perimeter of the outside = 2(W+2w + L+2w)
Difference between outside perimeter and the pool
=2(W+2w + L+2w) - 2(W+L)
=8w
So w=(74-50)/8=24/8=3 m
perimeter of the pool = 2(W+L)
perimeter of the outside = 2(W+2w + L+2w)
Difference between outside perimeter and the pool
=2(W+2w + L+2w) - 2(W+L)
=8w
So w=(74-50)/8=24/8=3 m
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