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Let ABCD is a square with sides of unit ...

Let ABCD is a square with sides of unit length. Points E and F are taken om sides AB and AD respectively so that AE= AF. Let P be a point inside the square ABCD.The maximum possible area of quadrilateral CDFE is-

A

`1//8`

B

`1//4`

C

`5//8`

D

`3//8`

Text Solution

Verified by Experts

The correct Answer is:
C

Area of CHEF
`A=1-(1)/(2)x^2-(1)/(2)(1-x)`
`=(2-2x^2-1+x)/(2)=(1+x-x^2)/(2)=(5/4-(x-(1)/(2))^2)/(2)`
`A_(max)=(5)/(8)atx=(1)/(2)`
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