To solve this, break the shape down into parts of area that are easy to solve.
Let’s make this shape a rectangle and a triangle.
Area of Rectangle:
L•W = A
where L = 9 cm, W = 7 cm
So,
A = 9 • 7 = 63 cm squared
Triangle Area:
A = 1/2 • b • h
This is a bit trickier because the base is not directly given. This can be found easily by added the two lengths next to the base (2.5 and 2.5) together and subtracting them from the length of the rectangle:
9 - (2.5+2.5) = 9 - 5 = 4cm
Now, plug this into the Area equation:
A = 1/2 (4) (2)
A = 2 • 2
A = 4 cm squared
Finally, add these two areas together for the total area of the original shape:
63 + 4 = 67 cm squared
The area of this shape is 67 cm squared.
Hope this helps!