on the 50 foot side of a house, a 3 sided fence is made out of...
on the 50 foot side of a house, a 3 sided fence is made out of 44 feet of fencing, with 2 of the three sides being the same length.
What is the maximum area, in square feet for the garden if all of the 44 feet of fencing is used
Homework Answers
fencing = 44 feet
let length = l
width = w
2w + l = 44
l = 44- 2w
area = length * width
= w( 44 - 2w )
= 44w - 2w^2
maximum area occurs at
w = - b/2a
w = - 44/ 2(-2)
w = 11
l = 44 - 2(11) = 22
area = 22(11)
| maximum area = 242 square feet |
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