To find the area of the parallelogram, we first need to find the base of the parallelogram.
Since the perpendicular line forms a right triangle with the base of the parallelogram, we can use the Pythagorean theorem to find the base:
Base^2 + Height^2 = Side^2
Base^2 + 35^2 = 44^2
Base^2 + 1225 = 1936
Base^2 = 711
Base = √711
Base ≈ 26.66
Now that we have both the base and the height of the parallelogram, we can find the area:
Area = base x height
Area = 26.66in x 35in
Area ≈ 933.04 square inches
Therefore, the area of the parallelogram is approximately 933.04 square inches.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A picture of a parallelogram with width 38in. and side 44in. A perpendicular line with a height of 35in. is shown inside the parallelogram and forms a right triangle.
Find the area of the parallelogram. The figure is not drawn to scale.
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