Question

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.

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Answer 1

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.