A pool company is installing a parallelogram shaped swimming pool in a family's backyard. 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?

Given
7cm
8cm
deep 4cm

1 answer

To find the area of the parallelogram-shaped swimming pool, we can use the formula for the area of a parallelogram, which is:

\[ \text{Area} = \text{base} \times \text{height} \]

From the provided measurements:

  • Let's assume one of the dimensions (7 cm or 8 cm) is the base of the parallelogram.
  • The height of the parallelogram is given as 4 cm.

Now we can calculate the area for both cases:

  1. If we take the base as 7 cm:

\[ \text{Area} = 7 , \text{cm} \times 4 , \text{cm} = 28 , \text{cm}^2 \]

  1. If we take the base as 8 cm:

\[ \text{Area} = 8 , \text{cm} \times 4 , \text{cm} = 32 , \text{cm}^2 \]

Without more specifics about which dimension represents the base of the parallelogram, we can report both options, but normally you would choose the longer base for the main area calculation. Ultimately, the area of the swimming pool will be either \( 28 , \text{cm}^2 \) or \( 32 , \text{cm}^2 \), depending on which measurement represents the base.

Assuming the 8 cm is the base: \[ \text{Area of the pool} = 32 , \text{cm}^2 \]