Calculate Parallelogram Area: Using Base 8 and Height 4

Question

Given the parallelogram of the figure

What is your area?

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Video Solution

Solution Steps

00:00 Find the area of the parallelogram
00:03 Opposite sides are equal in a parallelogram
00:21 Calculate the area of the parallelogram using height(AE) multiplied by side(DC)
00:31 Substitute appropriate values and solve to find the area
00:36 And this is the solution to the problem

Step-by-Step Solution

To solve the problem of finding the area of the parallelogram, we follow these steps:

  • Step 1: Identify the relevant dimensions from the figure.
  • Step 2: Apply the formula for the area of a parallelogram.
  • Step 3: Perform the multiplication to calculate the area.

Let's work through each step:

Step 1: From the problem description and figure, we have:

  • The base AB=8 AB = 8 cm.
  • The height DE=4 DE = 4 cm, which is perpendicular to the base AB AB .

Step 2: Use the formula for the area of a parallelogram:

Area=base×height \text{Area} = \text{base} \times \text{height}

Substituting the given values into the formula:

Area=8cm×4cm \text{Area} = 8 \, \text{cm} \times 4 \, \text{cm}

Step 3: Calculate:

Area=32cm2 \text{Area} = 32 \, \text{cm}^2

Therefore, the area of the parallelogram is 32cm2\mathbf{32 \, \text{cm}^2}.

Answer

32 32 cm².