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1 answer:
The length of the rectangular area is 800 yards and width is 800 yards
The perimeter of the rectangular area = 3200 yards
The perimeter of the rectangle = 2 (l + w)
Then the equation will be
2(l + w) = 3200
l + w = 3200 / 2
l + w = 1600 yards
w = 1600 - l
The area of the rectangular area = l × w
= l(1600 - l)
= 1600l -
Since the are is maximizing the the rate of change of area will be zero
l × w = 0
1600 - 2l = 0
2l = 1600
l = 1600/2
l = 800 yards
Then
w = 1600 - l
Substitute the value of l in the equation
w = 1600 - 800
w = 800 yards
Hence, the length of the rectangular area is 800 yards and width is 800 yards
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