Final answer:
To find the length of the side of the square, set the expressions equal to each other and solve for x. The length on the side of the square is 20 cm.
Step-by-step explanation:
To find the length of the side of the square, we need to set the two expressions equal to each other and solve for x. So we have (6x - 1) = (4x + 6).
First, we can combine like terms on each side to simplify the equation: 6x - 1 = 4x + 6.
Next, we can subtract 4x from both sides to isolate the x term: 6x - 4x - 1 = 4x - 4x + 6.
That gives us 2x - 1 = 6.
Finally, we can add 1 to both sides and then divide by 2 to solve for x: 2x - 1 + 1 = 6 + 1, 2x = 7, x = 7/2, x = 3.5.
Therefore, the length on the side of the square is 4x + 6, so it is 4(3.5) + 6 = 14 + 6 = 20 cm.