Question

What is the area of this polygon?
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units2

Answer 1

45 units^2

Explanation:

Cut the shape into a rectangle (on the bottom) and a triangle (on top).

The rectangle Area is:

A = length × width

= 9 × 2

= 18

On top is a triangle. Area if a triangle is:

A = 1/2 b × h

The base of the triangle is the long side of the rectangle, 9 units.

The height, h, is from the top peak, point N down to the base, 6 units.

A = 1/2 b × h

= 1/2(9)(6)

= 27

Add up the areas of the rectangle and triangle.

TotalArea = 18 + 27

= 45