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

Explanation

To find the dimensions of the window that will admit maximum light, we will follow these steps:

### Step 1: Define the Variables
Let:
- \( b \) = width of the rectangular part of the window
- \( a \) = height of the rectangular part of the window

The semicircular part will have a radius of \( \frac{b}{2} \).
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