Answer:
The complete question is:
Mr. Bayani 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 length of the garden with the smallest area to be 3 m.
4. What is the area of the smallest garden that Mr. Bayani can make? How about the area of the largest garden? Explain your answer.
Given:
Length of each garden must be 2 m longer than its width
Length of smallest area = 3m
To find:
Area of the smallest garden.
Solution:
It is given that the length of smallest side = 3m,
It width will be 3 -2 m = 1m
Therefore the area of the smallest garden will be 3 m^2.
Let the length of the largest garden be x, then its width = (x-2)
Its area = x(x-2) = x^2 - 2x m^2.
