Square with Side 4.5: Comparing Perimeter vs Area Measurements

Look at the square below:

4.54.54.5

Is the perimeter of the square greater than the area of the square?

❤️ 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 Is the perimeter of the square greater than its area?
00:03 Side length according to the given data
00:06 The perimeter of the square equals the sum of its sides
00:10 Let's substitute appropriate values and solve for the perimeter
00:13 This is the square's perimeter
00:17 Let's use the formula for calculating square area (side squared)
00:21 Let's substitute appropriate values and solve for the area
00:29 The square's perimeter is less than its area
00:34 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

Look at the square below:

4.54.54.5

Is the perimeter of the square greater than the area of the square?

2

Step-by-step solution

Remember that the area of the square is equal to the side of the square raised to the 2nd power.

Remember that the perimeter of the square is equal to the side of the square multiplied by 4.

We calculate the area of the square:

A=4.52=20.25 A=4.5^2=20.25

We calculate the perimeter of the square:

4.5×4=18 4.5\times4=18

Therefore, the perimeter is not greater than the area.

3

Final Answer

No

Practice Quiz

Test your knowledge with interactive questions

Look at the square below:

555

What is the area of the square equivalent to?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Square for 9th Grade 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