Practice!

Sample Problem

Find the area of the figure, given that all angles are right.

 

Solution

We can cut the whole figure into several rectangular figures, as shown.

The area of the top rectangle is just 5 × 2 = 10. The middle rectangle has a length of 5 + 3 = 8 and a width of 3 so it has an area of 8 × 3 = 24. The bottom rectangle has a length of 5 + 3 + 4 = 12 and a width of 2 so the area is 12 × 2 = 24. Thus, the whole area is 10 + 24 + 24 = 58.