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Q. 11

# A window is in th

Answer :

Let x and y be the length and breadth of the rectangular window.

Radius of the semi - circular opening = It is given that the perimeter of the window is 10m.

x + 2y +    Therefore, Area of the window (A) is given by

=      Now, , then  =0  Then, when x = then < 0.

Therefore, by second derivative test, the area is maximum when length

x = m.

Now, y = Therefore, the required dimensions of the window to admit maximum light is given by length = m and breadth = m.

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