Mr. Bayani has a vacant lot in his backyard. He wants to make as many rectangular gardens possible such that the length of each garden is 2 m longer than its width He also wants the length of the garden of smallest area to be 3 m. 1. Illustrate the different rectangular gardens that Mr. Bayani could make. 2. What are the dimensions of the different gardens that Mr. Bayani wants to make? paayos po ng sagot pls need ko po
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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.