Let us break the problem down step by step. The figure consists of:

1. A semicircle BCD, where DB is the diameter.
2. An arc AD, which is part of a circle with its center at point B.

Steps to find the perimeter of figure ABCD:

• Step 1: Let the length of DB (the diameter of semicircle BCD) be $d$. Since BCD is a semicircle, the radius of this semicircle will be $r = \frac{d}{2}$.

• Step 2: The perimeter of the semicircle BCD consists of:

  • The curved part of the semicircle (half of the circumference of a circle): $\text{Length of semicircle} = \frac{1}{2} \times 2\pi r = \pi r = \frac{22}{7} \times \frac{d}{2}$
  • The straight line DB (the diameter), which is $d$.

Thus, the total length of BCD (semicircle) is: $\text{Perimeter of BCD} = \frac{22}{7} \times \frac{d}{2} + d$

• Step 3: The arc AD is part of a circle whose center is at point B. If the arc AD subtends some angle $\theta$ at the center B, the length of arc AD is given by: $\text{Length of arc AD} = r_B \times \theta$ where $r_B$ is the radius of the circle centered at point B.

Assumptions:

• If the arc AD subtends a right angle (90 degrees or $\frac{\pi}{2}$ radians), the length of the arc would be: $\text{Length of arc AD} = r_B \times \frac{\pi}{2}$ You would need to know the radius $r_B$ of the circle with center B and the angle subtended by the arc AD at B to proceed further.

Please clarify the radius of the circle or the angle subtended by the arc AD for a more detailed solution. Would you like me to proceed with these assumptions or provide more details?

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Follow-up Questions:

1. What is the length of the diameter $DB$?
2. What is the radius $r_B$ of the circle with center at B?
3. Is there any specific angle subtended by the arc AD at B?
4. What is the length of the straight line $AD$?
5. Is point A on the circumference of the circle centered at B?
6. Should the arc AD be treated as a quarter circle or another specific segment?
7. How are the points A, B, C, and D aligned in the figure?
8. Are there any additional measurements or angles provided in the figure?

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Tip:

When working with composite shapes involving circles and straight lines, breaking the problem down into individual components helps simplify complex perimeter calculations.