I see you've uploaded a math problem that seems to involve various geometric concepts. Let me break it down for you and correct your approach.

Question 1:

You have a pentagon ABCDE, and it's been enlarged to a new pentagon ABC'D'E'. You are given the following information:

• $D = 220$
• The sides are related by certain scale factors.
• You are asked to find the area of the shaded region in square centimeters.

I'll need to analyze the geometry of the shape and your approach to compute the area.

Question 2:

You are dealing with a rectangle ABCD with diagonal BD and a square EFGH. The areas of the rectangle and the square are given as 32 cm² and 16 cm² respectively.

• The intersection of diagonal BD with the sides of the square is given.
• You need to find the value of $R$.

Question 3:

This involves a right triangle $ABC$ with point P on diagonal AC and the use of a circle with radius to match the area of triangle ABP.

• A circle is drawn, and you are tasked with finding the radius.

For clarity, I’ll proceed to correct the calculations and give step-by-step instructions based on the geometry presented. Let me first review your working for potential errors.

Would you like me to start with the correction for a specific part, or would you like a detailed explanation for all the steps?