Question

What is the area of this figure?

Answer 1

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