John wants to build a rectangular garden to grow some food for the cafeteria. For the garden, he has 100 meters of fencing that can be used. He wants the design of all possible gardens that will have at least 500 meters.

A) Make a table of values (Base,Height, and Area) to represent the situation

B)Make enough values in the table to estimate an answer to this problem

C)Set the inequality to 0 and graph as a y= equation. Keep x^2 term negative for this situation. Let x= length of the base and y= Area of the rectangular garden. Label the axes with a reasonable scale and include units.

D) Solve the inequality for part (a)

E) Give final range of values for the base that will give all possible values to solve the problem of having a garden with over 500 square meters of area while using 100 meters of fencing.