Question

The area of the table top in Cindy's kitchen is 9x2 - 48x + 64 square inches. What is the length of each side of the table in terms of x?length=(__________x ________ _________)

Answer 1

In order to determine the length of the sides, factorize the given expression for the area of the table top:

9x² - 48x + 64

take into account that the previous expression is a perfect square, in fact, you have:

9x² - 48x + 64 = (3x - 8)² = (3x - 8)(3x - 8)

Hence, the length of each side is 3x - 8