Calculate Square Area: Finding Area When Side Length is 8 Units

Area Calculation with Square Side Length

A square has a side length of 8.

Calculate its area.

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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 We'll use the formula for calculating the area of a square (side squared)
00:06 We'll substitute appropriate values and solve to find the area
00:11 A number squared is actually the number multiplied by itself
00:16 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

A square has a side length of 8.

Calculate its area.

2

Step-by-step solution

To determine the area of a square with a side length of 8, we use the formula for the area of a square:

  • Area=side length2 \text{Area} = \text{side length}^2

Let's perform the calculations step by step:
The side length given is 8. Substituting this value into the formula, we have:
Area=82 \text{Area} = 8^2

Calculating 82 8^2 , we find:
8×8=64 8 \times 8 = 64

Thus, the area of the square is 64 64 .

Therefore, the solution to the problem is 64 64 . This result matches the correct choice provided, which is choice 64 64 .

3

Final Answer

64

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area of square equals side length squared (s²)
  • Technique: Substitute 8 into formula: 82=8×8=64 8^2 = 8 \times 8 = 64
  • Check: Verify units are square units and answer makes sense ✓

Common Mistakes

Avoid these frequent errors
  • Using perimeter formula instead of area formula
    Don't calculate 4 × 8 = 32! This gives perimeter (distance around), not area (space inside). Always use Area = side² for squares, not 4 × side.

Practice Quiz

Test your knowledge with interactive questions

\( 11^2= \)

FAQ

Everything you need to know about this question

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

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Area measures the space inside (side²), while perimeter measures the distance around (4 × side). For a square with side 8: Area = 64 square units, Perimeter = 32 units.

Why do we square the side length?

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A square is made of side × side unit squares inside it. With side length 8, you have 8 rows of 8 squares each, totaling 8×8=64 8 \times 8 = 64 unit squares.

What units should I use for the answer?

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Area is always measured in square units. If the side is 8 cm, the area is 64 cm². If no units are given, write your answer as 64 square units.

Is there a shortcut to calculate 8²?

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Yes! Remember that 82=8×8=64 8^2 = 8 \times 8 = 64 . You can also think: 8 × 8 is like (10-2) × (10-2) = 100 - 40 + 4 = 64.

What if the side length was a decimal or fraction?

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The same formula works! For side = 2.5: Area = (2.5)2=6.25 (2.5)^2 = 6.25 . For side = 3/4: Area = (34)2=916 (\frac{3}{4})^2 = \frac{9}{16} .

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