Answer:
D.
Step-by-step explanation:
P=100
P=2l + 2w (rectangle)
A=lw
Where P is Perimeter
A is Area
L is length
W is width
If Area to be maximize then use Direvative (dA)
P=2l + 2w Equation 1
100=2l + 2w (Divide Both sides by 2)
50= l + w
l=50-w ---------(1)
A=lw Equation 2
Substitute (1)----(2)
Then,
A= (50-w) (w)
Take the derivative
A=50w-w2
dA=50dw-2wdw
dA/dw=50-2w To find the maxima set dA/dw =0
Then,
0=50-2w
2w=50
w=25
l=50-w -----(1)
Substitute w=25
l=50-25
l=25
The dimension is 25mx25m (It's a Square)
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