Answer:
the answer are B,=6506/82=79.3
C)7031/89=79
the answer are B and C
but maybe option C maybe also right because it is 3193/38=84
Answer:
The perimeter is minimum for Length and width both are
.
Step-by-step explanation:
Area, A = 3 square metre
Let the length is L and width is W.
Area = L W
3 = L W.....(1)
The perimeter is given by
P = 2 (L + W)
Substitute the value of from (1)
![P = 2 \left ( L +\frac{3}{L} \right )\\\\P = 2 L + \frac{6}{L}\\\\\frac{dP}{dL} = 2 - \frac{6}{L^2}\\\\Now\\\\\frac{dP}{dL}=0\\\\2 - \frac{6}{L^2} = 0\\\\L = \sqrt 3, W = \sqrt 3](https://tex.z-dn.net/?f=P%20%3D%202%20%5Cleft%20%28%20L%20%2B%5Cfrac%7B3%7D%7BL%7D%20%5Cright%20%29%5C%5C%5C%5CP%20%3D%202%20L%20%2B%20%5Cfrac%7B6%7D%7BL%7D%5C%5C%5C%5C%5Cfrac%7BdP%7D%7BdL%7D%20%3D%202%20-%20%5Cfrac%7B6%7D%7BL%5E2%7D%5C%5C%5C%5CNow%5C%5C%5C%5C%5Cfrac%7BdP%7D%7BdL%7D%3D0%5C%5C%5C%5C2%20-%20%5Cfrac%7B6%7D%7BL%5E2%7D%20%3D%200%5C%5C%5C%5CL%20%3D%20%5Csqrt%203%2C%20W%20%3D%20%5Csqrt%203)
Now
![\frac{d^2P}{dL^2}=\frac{12}{L^3}\\](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5E2P%7D%7BdL%5E2%7D%3D%5Cfrac%7B12%7D%7BL%5E3%7D%5C%5C)
It is alays positive, so the perimeter is minimum.
Answer:
P= 2l + 2W
Step-by-step explanation:
(P-2W)/2= l
(P-2W)= 2l
P-2W= 2l
P= 2l + 2W