SOLUTION: A homeowner is considering installing a swimming pool in his backyard. He wants its length to be 5 yards longer than its width, to make room for a diving area at one end. Then he
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-> SOLUTION: A homeowner is considering installing a swimming pool in his backyard. He wants its length to be 5 yards longer than its width, to make room for a diving area at one end. Then he
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Question 119827This question is from textbook Algebra 1
: A homeowner is considering installing a swimming pool in his backyard. He wants its length to be 5 yards longer than its width, to make room for a diving area at one end. Then he wants to surround it with a concrete walkway 4 yards wide. After finding out the price of concrete, he decides that he an afford 424 square yards of it for the walkway. What should the dimensions of the pool be? This question is from textbook Algebra 1
You can put this solution on YOUR website! WIDTH=W
LENGTH=W+5
(W+8)(W+5+8)=W(W+5)+424
(W+8)(W+13)=W^2+5W+424
W^2+21W+104=W^2+5W+424
21W-5W=424-104
16W=320
W=320/16
W=20 YARDS WIDE FOR THE POOL.
L=20+5=25 YARD LONG FOR THE POOL.
PROOF
(20+8)(25+8)=20*25+424
28*33=500+424
924=924
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