SOLUTION: You have a pool in your backyard that is 80 foot by 60 foot. You want to build a walkway aound the pool. What is the maximum width of the walkway if you only have 360 feet of fenci
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Question 214996: You have a pool in your backyard that is 80 foot by 60 foot. You want to build a walkway aound the pool. What is the maximum width of the walkway if you only have 360 feet of fencing?
a.) draw a picture to model this problem.
b.) write an expression that you could use to model this problem.
c.) make a table for how much fencing you would use if the walkway was 7, 8, 9, 10, or 11 feet
d.) write and solve an equation to find the maximum width of the walkway.
e.) how would this problem and solution change if you had 500 feet of fencing? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! You have a pool in your backyard that is 80 foot by 60 foot. You want to build a walkway around the pool. What is the maximum width of the walkway if you only have 360 feet of fencing?
:
a.) draw a picture to model this problem.
:
Draw a rectangle (pool) inside a rectangle (fence); label the inside 80 by 60
and the the width between the pool and the fence as x
;
b.) write an expression that you could use to model this problem.
Perimeter = 2(2x+80) + 2(2x+60
Simplify
4x + 160 + 4x + 120
8x + 280 = the expression
:
c.) make a table for how much fencing you would use if the walkway was 7, 8, 9, 10, or 11 feet
:
Substitute the values for x in the above expression find the amt of fence:
x | f in feet
-------
7 |336
8 |344
9 |352
10 |360
11 |368
:
d.) write and solve an equation to find the maximum width of the walkway.
8x + 280 = 360
8x = 360 - 280
8x = 80
x = 10 ft walkway with 360' of fence
:
e.) how would this problem and solution change if you had 500 feet of fencing?
8x + 280 = 500
8x = 500 - 280
8x = 220
x =
x = 27.5' walkway is possible
