4. A farmer has 6000 m of fencing and wishes to create a rectangular field subdivided into 4 congruent plots of land. Determine the dimensions of each plot of land if the area to be enclosed is a maximum (4 marks]
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A farmer has 6000 m of fencing and wishes to create a rectangular filed subdivided into four congruent plots of land. Determine the dimensions of the each plot if the area to be enclosed is a maximum.
A: 375 m by 600m
My Attempt:
Fencing:
6000 = 3x + 3y
(6000-3x)/3 = y
Area
A = xy
A = x(6000-3x)/3
A' = (18,000 - 18x)/9
0 = 18,000 - 18x
x = 1000
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