The problem in the image asks to work out the perimeter of a given shape. The shape is a compound figure made up of rectangles with all interior angles being right angles.

To calculate the perimeter, let's break down the dimensions from the image:

1. The larger vertical side of the shape is 10 cm.
2. The horizontal top side is also 10 cm.
3. The smaller vertical segment on the left is 4 cm.
4. The width of the smaller rectangle that creates the cutout is not labeled, but can be deduced.

Step-by-step process:

• The total vertical height is 10 cm (outer left side).
• The total width is also 10 cm (outer top side).

The shape has several sections, so summing the lengths of all its outer edges will give us the perimeter.

Let me calculate this for you using the visible dimensions.The perimeter of the given shape is 40 cm.

Would you like more details or have any other questions?

Here are 5 related questions you could explore:

1. How is the perimeter of a rectangle calculated?
2. What is the difference between perimeter and area?
3. How can the perimeter of irregular shapes be calculated?
4. How does the perimeter change if one dimension of the shape increases?
5. What are some real-life applications of perimeter calculation?

Tip: Always check if you can deduce missing dimensions by using the total width or height, as we did here.