find the area of the polygon by composing it in to rectangles

Question

3.5
8
8
3
3.5
2
2

Answer 1

To find the area of the polygon, we can compose it into rectangles and then sum the areas of the rectangles.

The polygon can be divided into the following rectangles:

Rectangle 1: 3.5 x 8 = 28
Rectangle 2: 8 x 3 = 24
Rectangle 3: 3.5 x 2 = 7
Rectangle 4: 2 x 2 = 4

Adding the areas of all the rectangles:
28 + 24 + 7 + 4 = 63

Therefore, the area of the polygon is 63 square units.