How do you find the perimeter of a compound shape with both straight and curved sides?

To find the perimeter of a compound shape, add the lengths of all straight and curved sides.

When dealing with compound shapes, it's important to break down the shape into simpler parts. Start by identifying and measuring all the straight sides. Use a ruler or the given measurements to find the lengths of these sides. Add these lengths together to get the total length of the straight sides.

Next, focus on the curved sides. If the curved side is part of a circle, such as a semicircle or a quarter circle, you will need to use the formula for the circumference of a circle. The circumference of a full circle is given by \( C = 2\pi r \), where \( r \) is the radius. For a semicircle, you would use half of this formula, \( \pi r \), and for a quarter circle, you would use a quarter of the formula, \( \frac{1}{2}\pi r \).

After calculating the lengths of the curved sides, add these to the total length of the straight sides. This sum will give you the perimeter of the compound shape. Remember to keep track of all parts of the shape and ensure you have included every side in your calculations. If the shape includes multiple curved sections, calculate each one separately and then add them all together.

By carefully measuring and adding all the straight and curved sides, you can accurately determine the perimeter of any compound shape.