Calculate the Area of a Square with Side Length 14: Geometric Measurement

Square Area with Perfect Square Numbers

Look at the square below:

141414

What is the area of the square equivalent to?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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 for calculating square area (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:

141414

What is the area of the square equivalent to?

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=142=196 A=14^2=196

3

Final Answer

196 196

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area of square equals side length squared
  • Technique: Calculate 142=14×14=196 14^2 = 14 \times 14 = 196
  • Check: Square root of 196 equals 14, confirming our calculation ✓

Common Mistakes

Avoid these frequent errors
  • Using perimeter formula instead of area formula
    Don't calculate 4 × 14 = 56 thinking it's the area! This gives you the perimeter (distance around), not the area (space inside). Always use A = L² for square area, not 4L.

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?

+

A square's area is length × width, and since all sides are equal, it becomes side × side = side². Think of it as counting unit squares that fit inside!

What's the difference between area and perimeter?

+

Area measures the space inside (units²), while perimeter measures the distance around the outside (units). For this square: Area = 196, Perimeter = 56.

How do I remember the area formula?

+

Think "A square gets squared!" The word square in the shape name reminds you to use the square operation (exponent 2).

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

+

The same formula works! For example, if side = 2.5, then Area = 2.52=6.25 2.5^2 = 6.25 . Just be careful with your decimal calculations.

Can I use a calculator for squaring?

+

Absolutely! Use the x² button or multiply the number by itself. For 14: either press 14 then x², or calculate 14 × 14.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Square for 9th Grade questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations