Find the radius of the semic-circle.
I. The area of semi-circle is equal to the area of the rectangle.
II. The breadth of rectangle is 5 cm less than its length and its permeter is 50 cm.

Options

A. if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.
B. if the data in statement II alon are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C. if the data either in statement I alone or in statement II alone in sufficient to answer the question.
D. if the data in both the statements I and II together are necessary to answer the question.

Explanation

To find the radius of the semicircle, we will analyze both statements provided and derive the necessary information step by step.

### Step 1: Analyze Statement I
**Statement I:** The area of the semicircle is equal to the area of the rectangle.

Let the radius of the semicircle be \( r \). The area of a semicircle is given by the formula:
\[
\text{Area of semicircle} = \frac{1}{2} \pi r^2
...