Mr. Saldariega has a vacant lot in his backyard. He wants to make as many rectangular gardens as possible such that the length of each garden is 2 m longer than its width. He also wants the garden to have a maximum area of 48 m².
a. If we let w be the width, what is the expression of the length in terms of w based on the problem?
b. If the formula for the area of a rectangle is A = lw, express the quadratic inequality in terms of width (w).
c. What is the solution set of the quadratic inequality?
d. Based on the solution set, how many rectangular gardens he can make if the length must be in whole number?
