Rectangle Perimeter Calculation: Finding the Distance Around a 66-Square-Unit Rectangle

Q: What's the difference between area and perimeter?

Area measures the space inside the rectangle (multiply length × width). Perimeter measures the distance around the outside (add all four sides together).

Q: Why do I add the sides twice in the perimeter calculation?

Because a rectangle has four sides total! There are two sides with length 11 and two sides with length 6, so you need: 11 + 6 + 11 + 6 = 34.

Q: Can I use a shortcut formula for rectangle perimeter?

Yes! The formula is $ P = 2(l + w) $ where l is length and w is width. So $ P = 2(11 + 6) = 2(17) = 34 $.

Rectangle Perimeter with Given Area

The area of the rectangle below is equal to 66.

Calculate the perimeter of the rectangle.

❤️ 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

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

The area of the rectangle below is equal to 66.

Calculate the perimeter of the rectangle.

Step-by-step solution

Given that in a rectangle every pair of opposite sides are equal to each other, we can state that:

$\text{AB=CD}=11$

$AC=BD=6$

Now let's calculate the perimeter by adding all the sides together:

$6+11+6+11=12+22=34$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rectangle Properties: Opposite sides are equal in length
Technique: Add all four sides: 6 + 11 + 6 + 11 = 34
Check: Verify area calculation: length × width = 11 × 6 = 66 ✓

Common Mistakes

Avoid these frequent errors

Using area formula instead of perimeter formula
Don't multiply length × width = 11 × 6 = 66 when asked for perimeter! This gives you the area again, not the distance around. Always add all four sides for perimeter: 6 + 11 + 6 + 11 = 34.

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?

FAQ

Everything you need to know about this question

What's the difference between area and perimeter?

Area measures the space inside the rectangle (multiply length × width). Perimeter measures the distance around the outside (add all four sides together).

Why do I add the sides twice in the perimeter calculation?

Because a rectangle has four sides total! There are two sides with length 11 and two sides with length 6, so you need: 11 + 6 + 11 + 6 = 34.

Can I use a shortcut formula for rectangle perimeter?

Yes! The formula is $P = 2(l + w)$ where l is length and w is width. So $P = 2(11 + 6) = 2(17) = 34$ .

How do I know which measurement is length and which is width?

It doesn't matter for perimeter! Whether you call 11 the length and 6 the width, or vice versa, you'll get the same perimeter of 34 units.

What if I forgot that opposite sides are equal?

Look at the diagram carefully! The rectangle shows that the top and bottom sides are both 11 units, and the left and right sides are both 6 units.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Rectangles 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