Calculate Side Length DC in Parallelogram with Area 88 cm²

Q: How do I know which side is the base?

The base is always the side that's perpendicular to the height. In this diagram, the height (8 cm) is perpendicular to side DC, so DC is our base.

Q: Why can't I just use any two sides?

The area formula specifically requires the base and its corresponding height. Using random sides won't give you the correct area calculation.

Q: What if the parallelogram looks tilted?

It doesn't matter how tilted it looks! The area formula still works as long as you use the correct base-height pair that are perpendicular to each other.

Q: Can I use a different base-height pair?

Yes! A parallelogram has two possible base-height pairs. Each will give you the same area of 88 cm², but the individual measurements will be different.

Q: How do I check my answer?

Multiply your calculated base by the given height: $ 11 \times 8 = 88 $ cm². This should equal the original area!

Parallelogram Area with Given Height

The area of parallelogram ABCD is 88 cm².

Calculate the length of side DC.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find DC

00:03 We'll use the formula for calculating the area of a parallelogram

00:08 side(DC) multiplied by height (AE)

00:17 We'll substitute appropriate values and solve for DC

00:33 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

The area of parallelogram ABCD is 88 cm².

Calculate the length of side DC.

Step-by-step solution

To solve for the length of side DC in the parallelogram, follow these steps:

Identify the given variables: The area of the parallelogram is $88 \, \text{cm}^2$ and the height is $8 \, \text{cm}$ .
Recall the formula for the area of a parallelogram: $A = \text{base} \times \text{height}$ .
Substitute the given values into the formula: $88 = \text{base} \times 8$ .
Solve for the base: $\text{base} = \frac{88}{8} = 11 \, \text{cm}$ .

Therefore, the length of side DC is $11 \, \text{cm}$ .

Final Answer

$11$ cm

Key Points to Remember

Essential concepts to master this topic

Formula: Area equals base times height for parallelograms
Technique: Rearrange to base = Area ÷ height = 88 ÷ 8
Check: Verify 11 × 8 = 88 cm² matches given area ✓

Common Mistakes

Avoid these frequent errors

Confusing which side is the base
Don't assume the longest side is always the base = wrong calculation! The base must be perpendicular to the given height. Always identify which measurement is the height first, then find the corresponding base.

Practice Quiz

Test your knowledge with interactive questions

Calculate the area of the parallelogram according to the data in the diagram.

FAQ

Everything you need to know about this question

How do I know which side is the base?

The base is always the side that's perpendicular to the height. In this diagram, the height (8 cm) is perpendicular to side DC, so DC is our base.

Why can't I just use any two sides?

The area formula specifically requires the base and its corresponding height. Using random sides won't give you the correct area calculation.

What if the parallelogram looks tilted?

It doesn't matter how tilted it looks! The area formula still works as long as you use the correct base-height pair that are perpendicular to each other.

Can I use a different base-height pair?

Yes! A parallelogram has two possible base-height pairs. Each will give you the same area of 88 cm², but the individual measurements will be different.

How do I check my answer?

Multiply your calculated base by the given height: $11 \times 8 = 88$ cm². This should equal the original area!

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Calculate Side Length DC in Parallelogram with Area 88 cm²

Parallelogram Area with Given Height

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

How do I know which side is the base?

Why can't I just use any two sides?

What if the parallelogram looks tilted?

Can I use a different base-height pair?

How do I check my answer?

🌟 Unlock Your Math Potential

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