Answer :

Total area = 53 cm²

I'm assuming that you're trying to find the area of the composite shape?

In that case, this composite shape can be broken into 3 distinct shapes: two triangles and a rectangle.

Area of left most triangle:

1/2(bh) = A

1/2(3cm  × 2cm) = A

A = 3 cm²

Area of rectangle:

bh = A

A = 8 cm × 5 cm

A = 40 cm²

Area of right most triangle:

1/2(bh) = A

1/2(5 cm × 4 cm) = A

A = 10 cm²

Total area:

3 cm² + 40 cm² + 10 cm²

= 53 cm²

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