To find the area of the parallelogram-shaped swimming pool, we can use the formula for the area of a parallelogram, which is:
\[ \text{Area} = \text{base} \times \text{height} \]
However, it's important to make sure that the units are consistent. In this problem, the base is given in feet and the height is given in inches. We should convert one of the measurements so that both are in the same unit. Let's convert the height from inches to feet because the base is already in feet.
Since there are 12 inches in a foot, we can convert the height from inches to feet as follows:
\[ \text{Height in feet} = \frac{\text{Height in inches}}{12} = \frac{7 \, \text{inches}}{12} \approx 0.5833 \, \text{feet} \]
Now we can calculate the area of the parallelogram:
\[ \text{Area} = \text{base} \times \text{height} = 12 \, \text{feet} \times 0.5833 \, \text{feet} \approx 7 \, \text{square feet} \]
So, the area of the pool is approximately 7 square feet.
Area and Volume Unit Test
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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