Question

Find the area of the shape shown below
4
2
6
2
2
2

Answer 1

32

Explanation:

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Answer 2

32 squared units

Step-by-step explanation:

The composite given in the figure consist of 3 triangles and 1 square shape.

To calculate the area of the composite shape, let's calculate area of each shape and then add all together.

==>Area of the square (Q): s²

s = 2

Area = 2² = 4 squared units

==>Area of biggest triangle (B): ½*b*h

b = 2+2+6 = 10

h = 4

Area = ½*10*4 = 5*4 = 20 squared units

==>Area of medium triangle (M): ½*b*h

b = 2

h = 6

Area = ½*2*6 = 6 squared units

==>Area of smallest triangle (S): ½*b*h

b = 2

h = 2

Area = ½*2*2 = 4/2 = 2 squared units

==>Area of composite shape = Q+B+M+S = 4+20+6+2 = 32 squared units