Beatrice has 60m of fencing that she plans to use to enclose a rectangular garden plot.

Question

One side of the garden will be against the barn, so she does not need to put a fence on that side. Find the dimensions of the plot that will maximize the area. What is the maximum area?

Answer 1

60 = 2w+L ---> 60 - 2w = L

A = L*w = (60 - 2w)*w

= 60w - 2w^2

0= dA/dw = 60 - 4w

w=15 --> L=30

max rectangle 30 by 15 with area 450