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What is the area of this figure?

What is the area of this figure?-example-1

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Answer:

54 units²

Explanation:

In the attached, the dashed gray line across the top divides the figure into 3 smaller figures:

  1. a triangle with base 3 and height 2
  2. a triangle with base 6 and height 1
  3. a trapezoid with median 8 and height 6

The area is the sum of the areas of these figures.

The area of a triangle is half the product of base and height. The area of a trapezoid is the product of the median length and the height. So, the total area is ...

A = (1/2)(3·2) + (1/2)(6·1) + 8·6 = 3 + 3 + 48 = 54 . . . units²

What is the area of this figure?-example-1
User Tgilgul
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