I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. the fencing for the southern boundary costs $20 per foot, and the fencing for the east and west sides costs $10 per foot. if i have a budget of $80 for the project, what are the dimensions of the garden with the largest area i can enclose?

Question

Athena Hill

Mathematics

14 December, 15:09

I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. the fencing for the southern boundary costs $20 per foot, and the fencing for the east and west sides costs $10 per foot. if i have a budget of $80 for the project, what are the dimensions of the garden with the largest area i can enclose?

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Maritza Johnston · Answer 1

The dimensions would be 2 by 2.

We are fencing in 3 sides. The southern side is twice as expensive as the other two sides; the eastern and western sides together equal as much as the southern side. We have $80 to spend.

20x+10x+10x = 80

40x = 80

x = 2

This means that we can have 2 feet on all sides, for a total of 10 (2) + 10 (2) + 20 (2) = 80.