Lily K.
asked • 12/17/20Jack was given 400 m^2 of sod. What are the dimensions of the rectangular border, with minimum perimeter, he could surround the sod with?
Hi. I need full solutions. god Bless :)
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1 Expert Answer
Raymond B. answered • 12/18/20
Tutor
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(2)
Math, microeconomics or criminal justice
20 x 20 meters,
Perimeter = 80 meters
Area = 400 square meters
A=LW
L=A/W = 400/W
P = 2(L+W) = 2(400/W + 2W
P' = 4 - 800/W^2 = 0
800/W^2 = 4
4W^2 =800
W^2 =400
W = 20
L= 400/20 = 20
minimum P = 2(20+20) = 80 meters
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David W.
12/18/20