Calculate Rectangle Perimeter: Area 112 with Width 8 and Length 14

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

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

Q: Why do we multiply by 2 in the perimeter formula?

Because rectangles have two pairs of equal sides! Instead of adding length + width + length + width, we can multiply by 2: P = 2(length + width).

Q: Can I just add all four sides individually?

Absolutely! Both methods work: P = length + width + length + width or P = 2(length + width). Use whichever feels more comfortable to you.

Q: What if the problem only gives me the area?

You'll need one more measurement (length OR width) to find the perimeter. With area = 112 and width = 8, you can find length = 112 ÷ 8 = 14.

Rectangle Perimeter with Given Dimensions

If the area of the rectangle is 112.

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

00:00 Determine the perimeter of the rectangle

00:03 The perimeter of the rectangle equals the sum of its sides

00:10 Opposite sides are equal in a rectangle

00:13 Substitute in the relevant values according to the given data and proceed to solve for the perimeter

00:19 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

If the area of the rectangle is 112.

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:

$AB=CD=14$

$AC=BD=8$

Now we can calculate the perimeter by adding all the sides together:

$8+14+8+14=16+28=44$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Perimeter equals twice the sum of length and width
Method: Calculate P = 2(14 + 8) = 2(22) = 44 units
Check: All four sides sum to 8 + 14 + 8 + 14 = 44 ✓

Common Mistakes

Avoid these frequent errors

Using area formula instead of perimeter formula
Don't calculate length × width = 14 × 8 = 112! That gives you the area, which is already provided in the problem. Always use P = 2(length + width) for perimeter calculations.

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 (length × width). Perimeter measures the distance around the outside edge (all four sides added together).

Why do we multiply by 2 in the perimeter formula?

Because rectangles have two pairs of equal sides! Instead of adding length + width + length + width, we can multiply by 2: P = 2(length + width).

Can I just add all four sides individually?

Absolutely! Both methods work: P = length + width + length + width or P = 2(length + width). Use whichever feels more comfortable to you.

What if the problem only gives me the area?

You'll need one more measurement (length OR width) to find the perimeter. With area = 112 and width = 8, you can find length = 112 ÷ 8 = 14.

Do the units matter for my final answer?

Yes! Always include the same units as given in the problem. If length and width have no units shown, write your answer as 44 units or just 44.

🌟 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