Aperson wishes to build a shed with three stalls of equal area. if she can afford only to build walls totaling 400 feet, what total length and width will give her the most floor space?

length x is  50 feet

width y is 100  feet

Explanation:

three stalls of equal area

total built wall = 400 feet

to find out

what total length and width

solution

we consider here x and y is the length and width and area is rectangular

so

total linear feet  will be

4 x + 2 y = 400

y = 200 - 2x

and

area = x y

area = x  (200 -2x)

area = 200 x - 2x²

we know area maximum will be when x =

here a - 2 and b is 200

so

length x = = 50 feet

width y = 200 - 2(-2) = 100  feet

The total length is 100 feet and the width is 50 feet.

Explanation:

Hope this Helps!!

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