Calculate Side DC in Parallelogram ABCD with Area 72Y cm²

The area of parallelogram ABCD is 72Y cm².

Calculate DC.

999AAABBBCCCDDDEEE

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Express DC using Y
00:03 We'll use the formula for calculating the area of a parallelogram
00:06 side(DC) multiplied by height (AE)
00:20 We'll substitute appropriate values and solve for DC
00:42 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The area of parallelogram ABCD is 72Y cm².

Calculate DC.

999AAABBBCCCDDDEEE

2

Step-by-step solution

To find the side length DC DC of parallelogram ABCD ABCD with an area of 72ycm2 72y \, \text{cm}^2 :

  • Given: Area = 72ycm2 72y \, \text{cm}^2 and height = 9cm 9 \, \text{cm} (from the base).
  • Formula for area: Area=base×height \text{Area} = \text{base} \times \text{height} .
  • Rearrange to solve for base DC DC : base=Areaheight \text{base} = \frac{\text{Area}}{\text{height}} .
  • Substitute the given values: base=72y9 \text{base} = \frac{72y}{9} .
  • Simplify: base=8y \text{base} = 8y .

Therefore, the length of DC DC is 8ycm 8y \, \text{cm} .

3

Final Answer

8y 8y

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

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Parallelogram questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations