SOLUTION: A pool measures 20 feet by 30 feet. It is surrounded by a walkway which is same width around the rectangular pool. With the walkway, the area is 1500 square feet. What is the wi
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Question 50983: A pool measures 20 feet by 30 feet. It is surrounded by a walkway which is same width around the rectangular pool. With the walkway, the area is 1500 square feet. What is the width of the walkway?
(a teacher generated question, not from textbook.) Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website! THE POOL IS 1:1.5 RATIO SO THE OUTER DIMENTIONS ARE THE SAME RATION THUS
X*1.5X=1500 OR 1.5X^2=1500 OR X^2=1500/1.5 OR X^2=1000 OR X=31.622776
& 1.5X=47.434164 SO 31.622776 & 47.434164 ARE THE OUTER DIMENTIONS
THUS THE WALKWAY IS (31.622776-20)/2=5.811388 FEET WIDE.
PROOF 31.622776*47.434164=1500 OR 1500=1500
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