Area and Volume Unit Test

6 of 156 of 15 Items

Question
Use the image to answer the question.

An illustration of a parallelogram shows the following dimensions: The base is 12 feet. The perpendicular height from the top left vertex to the base is 7 inches. The height is drawn as a dashed line.

A pool company is installing a parallelogram-shaped swimming pool in a family’s back yard. Compose a rectangle to find the amount of area that the pool will take up in the yard. What is the area of the pool?

1 answer

To find the area of the parallelogram-shaped swimming pool, we need to first find the base and height.

Since the base of the parallelogram is given as 12 feet, the base of the rectangle will also be 12 feet.

The perpendicular height from the top left vertex to the base is given as 7 inches. Since 1 foot is equal to 12 inches, the height of the rectangle will be 7/12 = 0.583 feet.

Now, we can calculate the area of the rectangle:

Area = base x height
Area = 12 feet x 0.583 feet
Area = 6.996 square feet

Therefore, the area of the parallelogram-shaped swimming pool is 6.996 square feet.
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