Students will use the geometric analogy such that if the area of a perfect square is represented by a square number, then the side length can be determined by taking the square root of the area. Example, the side length of a square that has an area of 400 would be 20.

1. Measuring Lines...
the hard way
Grade 8 Mathematics
Mr. J. Lingley

2. Brainteaser
O T T
F F S
S ? ?
Fill in the missing letters in the logical sequence.

3. 49 7

4. 49 72

5. 49 units2

6. ?

7. 7 u
49 u2 7

8. Area to Side Length
• To find the side length of any square, you
find the square root of the area.
• If you know the side length, you can find
the area, by simply squaring the side length.
What are the side lengths of these squares?

9. 16 36

10. 25 36
?

11. 25 36
~5.5

12. What if the square was like this...
Find the side length of this square.

13. What if the square was like this...
Instructions:
1. Find the area of the square.
2. Take the square to find the side length.