SOLUTION: Your neighbors have just finished installing a new swimming pool at their home. The pool measures 15 feet by 20 feet. They would like to plant a strip of grass of uniform width aro

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Question 1079154: Your neighbors have just finished installing a new swimming pool at their home. The pool measures 15 feet by 20 feet. They would like to plant a strip of grass of uniform width around three sides of the pool, the two short sides and one of the longer sides.
a) Sketch a diagram of the pool and the strip of lawn, using x to represent the width of the uniform strip.
b) write an equation for the area, A, in terms of x that represents the lawn area around the pool.
c) Your neighbors have enough seed for 168 square feet of lawn. Write an equation that relates the quantity of seed to the area of the uniform strip of lawn.
d) Solve the equation in part c to determine the width of the uniform strip that can be seeded.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) .
.
.
.
b)X=%2816%2B2Y%29%2820%2B2Y%29-16%2A20
X=%2816%2B2Y%29%2820%2B2Y%29-320
.
.
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c) %2816%2B2Y%29%2820%2B2Y%29-320=168
320%2B32Y%2B40Y%2B4Y%5E2-320=168
4Y%5E2%2B72Y-168=0
Y%5E2%2B18Y-42=0
%28Y%5E2%2B18Y%2B81%29-42=81
%28Y%2B9%29%5E2=123
Y%2B9=0+%2B-+sqrt%28123%29
Y=-9+%2B-+sqrt%28123%29
Only the positive solution makes sense here,
Y=sqrt%28123%29-9ft