Question

1. What relationship do you notice between the area of a 3x 3 square, 4 x 4 square, and 5x5 square?

2. What relationship do you notice between the area of a 5x 5 square, 12 x 12 square and 13x13 square?
Whoever answers these thanks!

Answer 1

1) increasing the side by a quantity of 1 causes the new square to increase by 2 times the previous side quantity + 1.

Example 1: 3x3=9, if you increase the sides to 4x4 increases the square by (2x3+1) to be 16.

Example 2: 12x12=144, if you increase the sides to 13x13 increases the square by (2x12=1) to be 169.

2) The same relationship

Explanation:

1)

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

2)

5 x 5 = 25

12 x 12 = 144

13 x 13 = 169