Each side of a square is lengthened by 3 inches. The area of the new, larger square is 64 square inches. Find the length of a side of the original square.
Note: The formula for the area of a square is $Area = side^2$.

a) Write the polynomial equation for the area of the larger square. Use the variable $s$ to represent the length of the side of the original square.
Answer:

b) Solve the equation and give the length of the side of the original square.
Length: