Calculate Parallelogram Height: Area 60 cm² with 8 cm Base

Look at the parallelogram ABCD.

The area ABCD is 60 cm².
AD=8 AD=8

Calculate the height of ABCD.

S=60S=60S=60888AAABBBCCCDDD

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Step-by-step video solution

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00:00 Find the height of the parallelogram
00:03 We'll use the formula for calculating the area of a parallelogram (side times height)
00:10 We'll substitute appropriate values according to the given data and solve for the height
00:14 We'll isolate the height
00:18 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Look at the parallelogram ABCD.

The area ABCD is 60 cm².
AD=8 AD=8

Calculate the height of ABCD.

S=60S=60S=60888AAABBBCCCDDD

2

Step-by-step solution

To solve this problem, we need to calculate the height of parallelogram ABCD using the area formula for parallelograms:

  • Step 1: Recall the formula Area=base×height\text{Area} = \text{base} \times \text{height}.
  • Step 2: Substitute the known values into the formula: 60=8×height60 = 8 \times \text{height}.
  • Step 3: Rearrange the formula to solve for height: height=608\text{height} = \frac{60}{8}.
  • Step 4: Perform the division to find the height: height=7.5\text{height} = 7.5 cm.

Therefore, the height of parallelogram ABCD is 7.57.5 cm.

3

Final Answer

7.5

Practice Quiz

Test your knowledge with interactive questions

A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.

Calculate the area of the parallelogram.

6664.54.54.5

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