Calculate Parallelogram Area: Using 7cm Base and 4cm External Height

Question

ABCD is a parallelogram.

BE is its external height.

DC = 7 cm
BE = 4 cm

Calculate the area of the parallelogram.

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Video Solution

Solution Steps

00:11 Let's find the area of the parallelogram.
00:15 We use the formula: area equals height times base length. Are you ready?
00:27 Next, we plug in the values for the height and the length of the base.
00:31 Now, let’s calculate these numbers to find the solution.
00:40 And there you have it! That's how we solve this question.

Step-by-Step Solution

To solve this problem, we'll use the formula for the area of a parallelogram:

Area=Base×Height\text{Area} = \text{Base} \times \text{Height}

Here, the base DCDC is given as 7 cm, and the height BEBE is given as 4 cm.

Now, substituting the known values into the formula, we get:

Area=7cm×4cm=28cm2\text{Area} = 7 \, \text{cm} \times 4 \, \text{cm} = 28 \, \text{cm}^2

Thus, the area of the parallelogram is 28cm2\boxed{28 \, \text{cm}^2}.

Answer

28 cm²