Parallelogram Length Calculation: Finding BE in a 60 cm² Shape

Question

The parallelogram ABCD has an area equal to 60 cm².

Calculate the length of BE.

121212AAABBBCCCDDDEEE

Video Solution

Solution Steps

00:00 Find BE
00:03 opposite sides are equal in a parallelogram
00:20 we'll use the formula for calculating parallelogram area
00:23 side(AD) multiplied by height (BE)
00:35 we'll substitute appropriate values and solve for BE
00:55 and this is the solution to the question

Step-by-Step Solution

To determine the length of BE BE , the height of the parallelogram ABCD ABCD , we can use the formula for the area of a parallelogram:

  • Area of a parallelogram=base×height\text{Area of a parallelogram} = \text{base} \times \text{height}

Given:

  • Area = 60 cm²
  • Base AB AB = 12 cm

We need to find BE BE , the height.

Using the formula, substitute the known values:

60=12×BE60 = 12 \times BE

To solve for BE BE , divide both sides of the equation by 12:

BE=6012BE = \frac{60}{12}

BE=5BE = 5

Thus, the length of BE BE is 5 5 cm.

Answer

5 5 cm