Calculate Parallelogram Area: 90° Right Angle with 9 and 11 Unit Measurements

Question

Below is the parallelogram ABCD.

AEC = 90°

What is the area of the parallelogram?

111111999AAABBBCCCDDDEEE

Video Solution

Solution Steps

00:10 Let's find the area of the parallelogram.
00:13 To do this, multiply the height, A E, with the base, D C.
00:24 Now, plug in the values you have and solve for the area.
00:32 And that's how we find the solution to our question!

Step-by-Step Solution

To find the area of parallelogram ABCD, we will follow these steps:

  • Step 1: Identify the base and height from the given diagram.
  • Step 2: Apply the area formula for the parallelogram.
  • Step 3: Calculate the area using the identified base and height.

Let's execute these steps:

Step 1: In parallelogram ABCD, the length of side CD is given as 11 cm. Since angle AEC is a right angle, AE, which measures 9 cm, serves as the height of the parallelogram.

Step 2: Use the formula for the area of a parallelogram:
Area=base×height \text{Area} = \text{base} \times \text{height}

Step 3: Substitute the values into the formula:
Area=11cm×9cm=99cm2 \text{Area} = 11 \, \text{cm} \times 9 \, \text{cm} = 99 \, \text{cm}^2

Thus, the area of the parallelogram ABCD is 99cm2\mathbf{99 \, \text{cm}^2}.

Answer

99 99 cm².