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Homework answers / question archive / Enhanced Assignment Question 13, 7
Enhanced Assignment Question 13, 7.4.37-GI Part 1 of 3 Three pens of the same size are to be built along an existing fence. If 320 feet of fencing is available, what length should x and y be to produce the maximum total area? What is the maximum area? X X ? X= feet
Answer:
x = 80
y = 80
A = 6,400 square feet
Explanation:
Given for 320 square feet,
2 (x + y) = 320
x + y = 160
y = 160 - x
The area of ABCD
A = x * y
= x * (160-x)
= 160x - x2
A’(x) = 160 - 2x = 0
160 = 2x
x =80
y = 160 - 80 = 80
A = 80 * 80 = 6,400 square feet
