Enhanced Assignment Question 13, 7

Math Nov 14, 2021

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

Expert Solution

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

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