The area of composite figure is 55 square cm .
What is area?
The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of triangle
[tex]A = \frac{1}{2}bh[/tex]
Where,
A is the area of triangle
b is the base of the triangle
h is the height of the triangle
Formula for the area of parallelogram
A = b × h
Where,
A is the area of parallelogram
b is the base of parallelogram
h is the height of the parallelogram
Formula for the area of rectangle
A = length × breadth
According to the given figure
Composite figure is made up of triangle, rectangle and parallelogram
Also,
Height of triangle = 3cm
Base of the triangle = 2cm
length of the rectangle = 8cm
breadth of the rectangle = 2cm
Height of the parallelogram = 3cm
Base of the parallelogram = 12cm
Therefore,
Area of triangle = 1/2 × 3 ×2 = 3 square cm
Area of rectangle = 2 × 8 = 16 square cm
Area of parallelogram = 12 × 3 = 36 square cm
Therefore,
Area of the composite figure = area of triangle + area of parallelogram + area of rectangle
⇒ Area of composite figure = 36 + 16 + 13 = 55 square cm.
Hence, the area of composite figure is 55 square cm .
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