Calculate Parallelogram Area: 12 cm Width and 4 cm Height Problem

Question

AB = 12 cm

The height of the rectangle is 4 cm.

AAABBBDDDCCC124

Calculate the area of the parallelogram.

Video Solution

Solution Steps

00:00 Calculate the area of parallelogram ABCD
00:03 Opposite sides are equal in a parallelogram
00:14 Let's use the formula for calculating the area of a parallelogram
00:18 Side(CD) multiplied by height (H)
00:23 Let's substitute the appropriate values and solve for the area
00:34 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll proceed as follows:

  • Step 1: Identify the given values for the base and the height of the parallelogram.
  • Step 2: Apply the formula for calculating the area of the parallelogram.
  • Step 3: Calculate the area using the values provided.

Let's perform each step:

Step 1: From the problem, we know:

  • The base AB AB of the parallelogram is 12cm 12 \, \text{cm} .
  • The height relative to the base is 4cm 4 \, \text{cm} .

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

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

Step 3: Plugging in the values of the base and height:

Area=12×4=48cm2\text{Area} = 12 \times 4 = 48 \, \text{cm}^2

Therefore, the area of the parallelogram is 48cm2 48 \, \text{cm}^2 .

Since this is a multiple-choice problem, the correct answer is Choice 2.

Answer

48