Calculate the Area of a Square with Side Length 11 Units

Area Formula with Perfect Square Numbers

Look at the square below:

111111

What is the area of the square?

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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 length of the square's side according to the given data
00:08 We'll use the formula for calculating the area of a square (side squared)
00:12 We'll substitute appropriate values and solve to find the area
00:19 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:

111111

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=112=121 A=11^2=121

3

Final Answer

121 121

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area of square equals side length squared (A = L²)
  • Calculation: Multiply side by itself: 11 × 11 = 121
  • Check: Perfect squares end in 1, 4, 5, 6, 9: 121 ends in 1 ✓

Common Mistakes

Avoid these frequent errors
  • Adding side lengths instead of multiplying
    Don't calculate 11 + 11 = 22 for area! This gives perimeter, not area. Area measures surface space inside the square. Always multiply the side by itself: 11 × 11 = 121.

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 I multiply 11 by itself instead of adding?

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Area measures the space inside the square. Think of it as counting unit squares: 11 rows with 11 squares each = 11 × 11 = 121 total unit squares!

What's the difference between area and perimeter?

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Perimeter is the distance around the outside (11 + 11 + 11 + 11 = 44). Area is the space inside the shape (11 × 11 = 121).

How can I remember the area formula?

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Think "A square has equal sides, so area equals side squared!" The formula A=L2 A = L^2 means multiply the length by itself.

Is 121 a perfect square?

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Yes! 121 is 112 11^2 . Perfect squares come from multiplying whole numbers by themselves: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121...

What if the side length was a decimal?

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The same formula works! If the side was 11.5, the area would be 11.52=132.25 11.5^2 = 132.25 . Just multiply the decimal by itself.

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