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?
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1 answer

To find the area of the parallelogram-shaped swimming pool, we need to calculate the area of the rectangle that is composed using the base and the height.

The base of the parallelogram is given as 12 feet, but the perpendicular height is given in inches. Since there are 12 inches in a foot, we need to convert the height from inches to feet.

The height (in feet) = 7 inches / 12 = 0.583 feet

Now, the area of the rectangle (which represents the area of the parallelogram) is calculated as:

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

Therefore, the parallelogram-shaped swimming pool will take up approximately 7 square feet in the family's back yard.
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