Calculate Parallelogram Area: 7-Unit Base with 9-Unit Height

Question

Calculate the area of the parallelogram below:

777999AAABBBCCCDDDEEE

Video Solution

Solution Steps

00:07 Let's start by finding the area of the parallelogram. Ready?
00:11 Remember, in a parallelogram, opposite sides are equal. This is important, so keep that in mind.
00:24 Now, to calculate the area, we multiply the height, that's line D E, by the base, which is side A B.
00:41 Let's plug in the values we have and solve it step by step to find the area.
00:48 And that's how we find the solution. Great job!

Step-by-Step Solution

To solve this problem, we'll follow these steps:

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

Now, let's work through each step:

Step 1: The base of the parallelogram is given as 77 cm, and the height corresponding to this base is 99 cm.

Step 2: We'll use the formula for the area of a parallelogram, which is Area=base×height \text{Area} = \text{base} \times \text{height} .

Step 3: Plugging in our values, we get:

Area=7cm×9cm=63cm2 \text{Area} = 7 \, \text{cm} \times 9 \, \text{cm} = 63 \, \text{cm}^2

Therefore, the correct solution to the problem is 63cm2 63 \, \text{cm}^2 .

Answer

63 63 cm²