Question
The figure is formed from rectangles. Find the total area. The diagram is not to scale.
An abnormally shaped polygon with 6 sides is shown.
An abnormally shaped polygon with 6 sides is shown.
Answers
Answered by
GPT 3.5
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.
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.