Calculate Rectangle Perimeter: Solving ABCD with Given Segments 5 and 3

Rectangle Analysis with Insufficient Information

ABCD and EBFC are rectangles.

Calculate the perimeter of the rectangle ABCD.

AAABBBCCCDDDEEEFFF53

❤️ 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 Find the perimeter of rectangle ABCD
00:03 Opposite sides are equal in a rectangle
00:07 The perimeter of the rectangle equals the sum of its sides
00:13 Let's substitute appropriate values and solve for the perimeter
00:17 We don't have enough data to solve
00:20 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

ABCD and EBFC are rectangles.

Calculate the perimeter of the rectangle ABCD.

AAABBBCCCDDDEEEFFF53

2

Step-by-step solution

Since every pair of opposite sides are equal to each other in a rhombus, we know that:

EF=BC=AD=5 EF=BC=AD=5

FC=EB=3 FC=EB=3

To calculate side AB, we must use the following formula:

AB=AE+EB AB=AE+EB

As we are only given the length of EB, we don't have enough information and cannot calculate the lengths of the other sides.

3

Final Answer

Not enough data

Key Points to Remember

Essential concepts to master this topic
  • Rectangle Properties: Opposite sides are equal, all angles are 90°
  • Given Information: EF = 5 and FC = 3 from rectangle EBFC
  • Critical Analysis: Check if all required measurements are provided before calculating ✓

Common Mistakes

Avoid these frequent errors
  • Assuming you can calculate perimeter with partial information
    Don't just add the given segments 5 + 3 = 8 and multiply by some factor! This ignores that we need to know AE to find AB = AE + EB. Always identify what information is missing before attempting 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?
666444AAABBBCCCDDD

FAQ

Everything you need to know about this question

Why can't I just use the given measurements 5 and 3?

+

The measurements 5 and 3 are from rectangle EBFC, not the complete rectangle ABCD. To find the perimeter of ABCD, we need to know all four sides of rectangle ABCD.

What does 'not enough data' mean in geometry problems?

+

'Not enough data' means we cannot solve the problem with the given information. Even though rectangles have predictable properties, we still need sufficient measurements to calculate unknown values.

How do I know when I have enough information?

+

For rectangle perimeter, you need either:

  • Both length and width
  • All four side lengths
  • Enough information to calculate the missing dimensions
Check what you can actually determine before calculating!

Could there be a way to find AE from the diagram?

+

Looking at this problem, there's no way to determine AE from the given information. The diagram shows two rectangles sharing some sides, but AE is not given or calculable from segments 5 and 3.

What should I do when I encounter 'not enough data' problems?

+

First, list what you know and what you need to find. Then check if you can calculate the missing values. If not, 'not enough data' is likely the correct answer - don't guess!

🌟 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

More Questions

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