SOLUTION: rectangular pool is 3 times as long as wide,surrounded by deck 2.5m wide. find dimension of pool if area deck is 265m

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Question 164989: rectangular pool is 3 times as long as wide,surrounded by deck 2.5m wide. find dimension of pool if area deck is 265m
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Call the width of the pool

The length of the pool will then be

The area of the pool is

If the deck around the pool is 2.5 m wide, then
m are added to the width of the pool and
m are added to the length of the pool
The area of the pool + deck =

Since it is given that the area of the deck is
m, The area of the pool is
, but , so

Subtract from both sides




The pool is 12m x 36m
check answer:



, and, from above,




OK


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