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
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To find the area of the parallelogram-shaped swimming pool, we first need to find the area of the rectangle formed by extending the base of the parallelogram to create a right angle with the height of 7 inches.
The base of the rectangle is 12 feet and the height is 7 inches. Since we need to convert the height to feet to match the base, we divide 7 inches by 12 to get 0.5833 feet.
The area of the rectangle is then calculated as base times height:
Area = 12 feet x 0.5833 feet = 7 feet
Therefore, the area of the parallelogram-shaped swimming pool is 84 square feet.