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)
To find the area of the pool, we need to find the area of the parallelogram. The base of the parallelogram is 12 feet and the height (perpendicular distance from the top left vertex to the base) is 7 inches. Since 1 foot is equal to 12 inches, we can convert the height to feet by dividing 7 inches by 12:
7 inches / 12 = 0.5833 feet
Now we can find the area of the parallelogram by multiplying the base by the height:
Area = base x height
Area = 12 ft x 0.5833 ft
Area ≈ 7 ft²
Therefore, the area of the pool will take up approximately 7 square feet in the yard.