Find Side Length of a Square: Area 25 in Similar Squares Problem

252525101010The two squares above are similar.

If the area of the small square is 25, then how long are its sides?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the length of the small square's side
00:03 Let's mark each square with numbers 1,2
00:07 Let's use the formula for calculating square area (side squared)
00:14 Let's mark the square's side as X
00:18 Let's substitute in the area formula and solve for X
00:23 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

252525101010The two squares above are similar.

If the area of the small square is 25, then how long are its sides?

2

Step-by-step solution

The area of the large square is:
102=100 10^2=100

The area of the small square is 25.

10025=4 \frac{100}{25}=4

The square root of 4 is equal to 2.

We will call X the length of the side:

10x=2 \frac{10}{x}=2

2x=10 2x=10

x=5 x=5

3

Final Answer

5

Practice Quiz

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Look at the square below:

111111

What is the area of the square?

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