Question

Justin wants to use 376 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? what will be the area of the garden?
a. 89 x 99; 8811 ft
b. 92x 96; 8832 ft
c. 94 x 94; 8836 ft
d. 93 x 95; 8835 ft

Answer 1

When the sides are the same legnth, that is max area
(I can find the max area with calculus but I don't think you know that)
so
if we assume that they are equal
L=W
376=perimiter
P=2(L+W)
376=2(L+W)
376=2(L+L)
376=2(2L)
376=4L
divide both sides by 4
94=L

the dimeintions are 94 by 94, if we mulipy we get 8836ft

C is answer


(note: for those people who say rectangles have to have different side legnths, that is incorrect because the requirement is 4 right angles, all squares are recangles, but not all rectangles are squares)

C is answer