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Answer:
- parallelogram: 80 mm²
- triangle: 40 mm²
Step-by-step explanation:
The formula for the area of a parallelogram is ...
A = bh
Here, the base is 8 mm and the height (perpendicular to the base) is 10 mm. Then the area is ...
A = (8 mm)(10 mm) = 80 mm² . . . . area of the parallelogram
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As you can see from the problem setup, the area of the triangle is exactly half that: 80 mm²/2 = 40 mm² . . . . area of the triangle
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If you'd rather use the formula for the triangle area, you will see that you get the same result:
A = (1/2)bh
A = (1/2)(8 mm)(10 mm) = 1/2·80 mm² = 40 mm² . . . . area of the triangle
