Calculate the Area of a Square with Side Length 25 Units

Area of Squares with Perfect Square Values

Look at the square below:

252525

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
00:03 Let's find the area of the square.
00:06 First, let's look at the length of one side given in the problem.
00:11 Now, we'll use the formula: side times side, to find the area.
00:16 We'll substitute the side length into the formula and calculate the area.
00:21 Great job! That's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the square below:

252525

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=252=625 A=25^2=625

3

Final Answer

625 625

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area of a square equals side length squared: A=L2 A = L^2
  • Calculation: With side 25 units: 252=25×25=625 25^2 = 25 \times 25 = 625
  • Check: Verify the side times itself gives the area: 625=25 \sqrt{625} = 25

Common Mistakes

Avoid these frequent errors
  • Adding the side length instead of multiplying
    Don't calculate 25 + 25 = 50! Adding gives you perimeter, not area. Always remember area needs multiplication: 252=25×25=625 25^2 = 25 \times 25 = 625 .

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 doubling it?

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Area measures how much space is inside the square. When you have a 25×25 grid, you're counting 25 rows each with 25 squares, which gives you 25×25=625 25 \times 25 = 625 total squares!

What's the difference between area and perimeter?

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Area is the space inside (multiply: L2 L^2 ), while perimeter is the distance around the outside (add: 4L 4L ). For this square: area = 625, perimeter = 100.

How do I remember the area formula for squares?

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Think of it as "side times side" or imagine filling the square with unit squares. A 25×25 square needs 25×25=625 25 \times 25 = 625 unit squares to fill it completely!

What if the side length isn't a nice whole number?

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The formula A=L2 A = L^2 works for any side length! Whether it's 3.5, 2.7, or even fractions like 12 \frac{1}{2} , just square that number.

How can I check if my answer is reasonable?

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Ask yourself: "Does this make sense?" A 25-unit square should have a large area. Since 202=400 20^2 = 400 and 302=900 30^2 = 900 , an answer of 625 fits perfectly between them!

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