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 point)
square feet

1 answer

To find the area of the parallelogram-shaped pool, we first need to find the area of the rectangle that can be composed using the base and perpendicular height given.

The base of the parallelogram is 12 feet and the perpendicular height is 7 inches. We need to convert the height to feet by dividing by 12 (since 1 foot = 12 inches).
7 inches / 12 = 0.5833 feet

Now we can find the area of the rectangle:
Area = base x height
Area = 12 feet x 0.5833 feet
Area = 6.9996 square feet

So, the parallelogram-shaped pool will take up approximately 7 square feet of area in the family's backyard.
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