Answer:
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