Calculate Parallelogram Area Using Exterior Height: 10-Unit Height Problem

Question

Given the parallelogram in which CF is the exterior height of side BD:

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Calculate the area of the parallelogram.

Video Solution

Solution Steps

00:00 Calculate the area of the parallelogram
00:03 We'll use the formula to calculate the area of a parallelogram
00:07 Side(BD) multiplied by the height to side (H)
00:14 The height to side BD is CF
00:20 Opposite sides are equal in a parallelogram
00:31 We'll substitute appropriate values in the formula and solve to find the area
00:44 And this is the solution to the question

Step-by-Step Solution

To solve for the area of the parallelogram, consider the following details:

  • Step 1: Identify the base and height of the parallelogram. Here, the side that is used as the base is BD, which has an external perpendicular line, CF, indicating the height.
  • Step 2: Given that CF=12 CF = 12 (the height), and the base BD=10 BD = 10 , you can calculate the area using the formula Area=base×height\text{Area} = \text{base} \times \text{height} .

Given these values, the area calculation is as follows:
Step 2: The base BD BD is 10, and the height CF CF is 12. Thus:
Area=10×12=120 \text{Area} = 10 \times 12 = 120 .

Therefore, the area of the parallelogram is 120 120 .

Answer

120