Calculate the Area of a Square: Visual Geometry Problem

Area of Square with Side Length

Look at the square below:

222

What is 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 Find the area of the square
00:03 The size of the square's side according to the given data
00:07 Use the formula to calculate the area of a square (side squared)
00:11 Substitute appropriate values and solve to find the area
00:17 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:

222

What is the area of the square?

2

Step-by-step solution

The area of the square is equal to the side of the square raised to the second power.

That is:

A=L2 A=L^2

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

A=22=4 A=2^2=4

3

Final Answer

4 4

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area of square equals side length squared (A = L²)
  • Technique: Identify side length from diagram: A = 2² = 4
  • Check: Side × Side = 2 × 2 = 4 square units ✓

Common Mistakes

Avoid these frequent errors
  • Confusing area with perimeter calculations
    Don't add all four sides (2+2+2+2=8) = wrong answer! This gives perimeter, not area. Always multiply side by itself for area: 2×2=4.

Practice Quiz

Test your knowledge with interactive questions

Look at the square below:

111111

What is the area of the square?

FAQ

Everything you need to know about this question

Why do we square the side length for area?

+

Area measures the space inside the square. Think of it as counting unit squares that fit inside. A 2×2 square contains 4 unit squares, so the area is 4!

What's the difference between area and perimeter?

+

Area is the space inside (side × side). Perimeter is the distance around the outside (4 × side). For our square: Area = 4, Perimeter = 8.

Do I always use the formula A = L²?

+

Yes! For any square, the area formula is always A = L². Just identify the side length and square it. This works whether the side is 2, 5, or even 0.5!

What if the diagram shows different measurements?

+

Look carefully at the diagram. In a square, all four sides are equal. The diagram only needs to show one side length - use that same number for your calculation!

Can the area be smaller than the side length?

+

Yes! If the side length is less than 1 (like 0.5), then the area would be smaller: 0.52=0.25 0.5^2 = 0.25 . But in this problem, side = 2, so area = 4.

🌟 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