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Find the area of the figure below, formed from a triangle and a parallelogram

Find the area of the figure below, formed from a triangle and a parallelogram-example-1

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9514 1404 393

Answer:

(d) 32 mm²

Explanation:

The relevant area formulas are ...

A = 1/2bh . . . . . area of triangle with base b and height h

A = bh . . . . . . . area of parallelogram with base b and height h

__

The triangle has a base of 8 mm and a height of 3 mm, so an area of ...

A = 1/2(8 mm)*(3 mm) = 12 mm²

The parallelogram has a base of 5 mm and a height of 4 mm, so an area of ...

A = (5 mm)(4 mm) = 20 mm²

Then the area of the figure is ...

figure area = triangle area + parallelogram area = 12 mm² +20 mm²

figure area = 32 mm²

User Darshan Sawardekar
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