Question 895770: A good friend of yours is planning to install a new concrete walkway around his backyard swimming pool. The pool measures 25 feet long by 15 feet wide, and the width of the walkway is to be the same all the way around. Your friend is trying to determine how wide to make his walkway and needs your advice.
1. Construct a diagram of the pool and walkway, labeling all known dimensions
2. Write a polynomial expression to model the square feet of concrete needed
3. Determine how much concrete is needed if the walkway is:
a.) 4 feet wide
b.) 5 feet wide
c.) 6 feet wide
Determine the price for #3 - parts a, b, and c given that the price per square foot of concrete is $25
Which sidewalk width would you recommend for your friend and why?
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! the pool
20*15=300
4 foot wide sidewalk
(20+4)*(15+4)-300=
24*19-300=
456-300=156 sq ft
156*25=$3900
4 foot wide sidewalk
(20+5)*(15+5)-300=
25*20-300
500-300=200 sq ft
200*25=$5000
6 foot wide sidewalk
(20+6)*(15+6)-300=
26*21-300
546-300=246 sq ft
246*25=$6150
BTW You can't buy sq ft of concrete. Concrete is a solid which is sold in cubic yards.
I recommend the 6 ft wide sidewalk so there is plenty of room.
Who cares about the price! Safety first!
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