Square Geometry: Compare Perimeter and Area of 10-Unit Square

Look at the square below:

101010

Is the perimeter of the square greater than its area?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Is the perimeter of the square greater than its area?
00:03 Side length according to the given data
00:06 The perimeter of the square equals the sum of its sides
00:12 Let's substitute appropriate values and solve to find the perimeter
00:15 This is the perimeter of the square
00:20 Let's use the formula for calculating the area of a square (side squared)
00:26 Let's substitute appropriate values and solve to find the area
00:35 The perimeter of the square is less than its area
00:40 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Look at the square below:

101010

Is the perimeter of the square greater than its area?

2

Step-by-step solution

Remember that the area of the square is equal to the side of the square raised to the 2nd power.

Remember that the perimeter of the square is equal to the side of the square multiplied by 4.

We calculate the area of the square:

A=102=100 A=10^2=100

We calculate the perimeter of the square:

10×4=40 10\times4=40

Therefore, the perimeter is not greater than the area.

3

Final Answer

No

Practice Quiz

Test your knowledge with interactive questions

Look at the square below:

111111

What is the area of the square?

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