Calculate the Area of a Square with Side Length 30 Units

Area Formula with Perfect Square Numbers

Look at the square below:

303030

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 Size of the square's side according to the given data
00:07 Use the formula for calculating the area of a square (side squared)
00:11 Substitute appropriate values and solve to find the area
00:18 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the square below:

303030

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=302=900 A=30^2=900

3

Final Answer

900 900

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area of square equals side length squared: A = s²
  • Calculation: Substitute side length: A = 30² = 30 × 30 = 900
  • Check: Verify units are square units and answer makes sense ✓

Common Mistakes

Avoid these frequent errors
  • Adding side lengths instead of squaring
    Don't calculate 30 + 30 = 60 for area! This gives perimeter, not area, and produces a completely wrong answer. Always multiply the side by itself: 30 × 30 = 900.

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?

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Area measures how many unit squares fit inside the shape. A 30×30 square contains 30 rows with 30 squares each, giving us 30×30=900 30 \times 30 = 900 unit squares total!

What's the difference between area and perimeter?

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Perimeter is the distance around the outside (4 × 30 = 120 units). Area is the space inside the square (302=900 30^2 = 900 square units). Don't mix them up!

Do I always use the same formula for any square?

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Yes! The formula A=s2 A = s^2 works for any square, no matter how big or small. Just substitute your side length for s.

What if my side length has decimals?

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The same formula applies! For example, if the side is 2.5 units, then A=2.52=6.25 A = 2.5^2 = 6.25 square units. Just be careful with your decimal multiplication.

How can I remember which operation to use?

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Think "side times side" for area. Since both dimensions are the same in a square, you're multiplying the side by itself, which is squaring!

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