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#35622

applications

inequalities

medium

60 sec

A gift box is designed with a square base. The height of the box is $30$ inches. The manufacturer specifies that the sum of the perimeter of the base and the height of the box must not exceed $90$ inches. What is the greatest possible side length, in inches, of the square base?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.