Question

A window is in the form of a rectangle surmounted by a semicircular opening. The total perimeter of the window is 10 metres. Find the dimensions of the window to admit maximum light through it.

Answer 1

Consider x metres as the length and y metres as the breadth of the rectangle

Here the radius of semicircle is x/2 metres

Perimeter of the window can be written as

By substituting the values