Answer:
46 square units
Step-by-step explanation:
The area of the composite figure is the sum of the areas of the two parallelograms that make it up.
Top parallelogram
The area of a parallelogram is given by the formula ...
A = bh
where b is the base, and h is the height perpendicular to the base.
The width of the base can be found by counting the grid squares. It is 9 units.
The height can be found by counting the grid squares between the horizontal lines. It is 4 units.
The area of the top parallelogram is ...
A = bh = (9)(4) = 36 . . . . square units
Bottom parallelogram
The bottom parallelogram is 5 units wide and 2 units high. Its area is ...
A = bh = (5)(2) = 10 . . . . square units
Figure area
The area of the figure is the sum of the areas of the two parallelograms:
total area = 36 +10 = 46 . . . . square units
The area of the figure is 46 square units.
