SOLUTION: A 35 ft by 30 ft pool has just been installed. Your task is to choose a material to border around the pool. The pool border must be uniform in width. a) Let x be the width of

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Question 981325: A 35 ft by 30 ft pool has just been installed. Your task is to choose a material to border around the pool. The pool border must be uniform in width.
a) Let x be the width of the border. Write an algebraic expression for the area of the border around the pool.
b) Board members decided that the borders should be 5 feet wide, and they budgeted $6,500 for this project. You can select one of the following possible materials to border the pool.
Outdoor Carpeting: $6 per square foot plus $5 per foot to install edging around the rectangular border
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
a) B=area of border; x=width of border
B=%28%2835ft%2B2x%29%2830ft%2B2x%29%29-%28%2835ft%29%2830ft%29%29
B=%28%2835ft%2B2x%29%2830ft%2B2x%29%29-1050ft%5E2
.
b) x=5ft
B=%28%2835ft%2B10ft%29%2830ft%2B10ft%29%29-%28%2835ft%29%2830ft%29%29
B=%2845ft%29%2840ft%29-%281050ft%5E2%29
B=%281800ft%5E2%29-%281050ft%5E2%29%0D%0A%7B%7B%7BB=750ft%5E2
.
The carpet will cost:
cost=%28%246%2Fft%5E2%29%28750ft%5E2%29=%244500
The edging:
P=perimeter; L=length=45ft; W=width=40ft
P=2%28L%2BW%29
P=2%2845ft%2B40ft%29
P=2%2885ft%29
P=170ft
cost=%28%245%2Fft%29%28170ft%29=%24850
.
Total cost of carpet border=$4500+$850=$5350
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No other options were given.