Find the area.

a = [?]cm²
4.5 cm, 12 cm and 4.3 cm
Shape: Parallelograms

1 answer

To find the area of a parallelogram, you can use the formula:

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

From the dimensions you provided (4.5 cm, 12 cm, and 4.3 cm), we can identify the base and the height.

  1. Identify Base and Height:
    • Let's take \( 12 , \text{cm} \) as the base, but we do not know the height from the given dimensions. However, typically in a parallelogram, the height can often be represented along with one of the non-base lengths.

To calculate the area, we need the height corresponding to the base.

Given there is no specific height provided, let's assume one of these dimensions is the height. The most reasonable assumption is that \( 4.5 , \text{cm} \) or \( 4.3 , \text{cm} \) might represent the height if they are meant to be perpendicular.

  • If we assume \( 4.3 , \text{cm} \) is the height, the area will be:

    \[ \text{Area} = 12 , \text{cm} \times 4.3 , \text{cm} = 51.6 , \text{cm}^2 \]

  • If we assume \( 4.5 , \text{cm} \) is the height, the area will be:

    \[ \text{Area} = 12 , \text{cm} \times 4.5 , \text{cm} = 54 , \text{cm}^2 \]

Summary:

  • Assuming height is 4.3 cm: Area = \( 51.6 , \text{cm}^2 \)
  • Assuming height is 4.5 cm: Area = \( 54 , \text{cm}^2 \)

Final Result:

We cannot definitively state the area without knowing which height corresponds to the base. Please confirm the height for accurate calculations. Otherwise, based on assumptions:

  • \(\text{Area} = 51.6 , \text{cm}^2 \) or \(54 , \text{cm}^2 \).