Calculate the Area of a Square with Side Length 20 Units

Square Area with Side Length Given

Look at the square:

202020

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 Square side length according to the given data
00:07 Use the formula to calculate the square area (side squared)
00:12 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:

202020

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=202=400 A=20^2=400

3

Final Answer

400 400

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area of square equals side length squared
  • Calculation: Side 20 units gives A=202=400 A = 20^2 = 400
  • Check: All four sides equal 20, so 20×20=400 20 \times 20 = 400

Common Mistakes

Avoid these frequent errors
  • Using perimeter formula instead of area formula
    Don't add the sides 20 + 20 + 20 + 20 = 80! That gives perimeter, not area. Perimeter measures distance around the edge while area measures space inside. Always use A=L2 A = L^2 for square area.

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 square the side length instead of just using it once?

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Area measures two-dimensional space, so you multiply length × width. Since a square has equal sides, you multiply side × side, which is the same as squaring: 20×20=202 20 \times 20 = 20^2 .

What's the difference between area and perimeter of a square?

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Area is the space inside (side²) while perimeter is the distance around the edge (4 × side). For our square: Area = 400 square units, Perimeter = 80 units.

Do I need to include units in my answer?

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Yes! Area is always measured in square units. Since the side is 20 units, the area is 400 square units (or units²).

How can I remember the square area formula?

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Think: "Square the square!" A square has equal sides, so you multiply side × side = side². The word "square" in math means "to the power of 2"!

What if I accidentally calculate 20 × 4 instead?

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That gives you the perimeter (80), not the area! Remember:

  • Perimeter = 4 × side (around the edge)
  • Area = side × side (inside space)

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