The figure is formed from rectangles. Find the total area. The diagram is not to scale.

Question

An abnormally shaped polygon with 6 sides is shown.

Answer 1

To find the total area, we need to add up the areas of each individual rectangle that form the polygon.

Let's label the sides of the polygon as follows:
AB = 2 cm
BC = 4 cm
CD = 3 cm
DE = 2 cm
EF = 3 cm
FA = 5 cm

First, let's find the area of the rectangle ABCD. The length of this rectangle is BC = 4 cm and the width is AB = 2 cm. The area is 4 cm * 2 cm = 8 cm^2.

Next, let's find the area of the rectangle CDEF. The length of this rectangle is DE = 2 cm and the width is CD = 3 cm. The area is 2 cm * 3 cm = 6 cm^2.

Finally, let's find the area of the rectangle ADEF. The length of this rectangle is EF = 3 cm and the width is FA = 5 cm. The area is 3 cm * 5 cm = 15 cm^2.

Now, let's add up the areas of the three rectangles:
8 cm^2 + 6 cm^2 + 15 cm^2 = 29 cm^2.

Therefore, the total area of the polygon formed by the rectangles is 29 cm^2.