Hayden Highschool Building a Garden in Your Backyard Project Paper

I’m working on a calculus multi-part question and need an explanation to help me learn.

I’m working on a calculus multi-part question and need an explanation to help me understand better.

Plan A: Building in the middle of the garden (3 marks)

What are the dimensions of the maximum rectangular garden and what is the maximum area?

Plan B: Building next to the river. (3 marks)

What are the dimensions of the maximum area and what is the maximum area?

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Plan C: Placing the garden next to both the house and the river (3 marks)

What are the dimensions for a maximum area and what is the maximum area?

1. Order the garden plans from greatest to least. Which garden should you choose?

Explain why. (2 marks)

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1. You’ve found out that there is another shape that you haven’t tried yet that can yield an even larger area than your Plan A.

What shape is it? (1 mark)

1. Calculate how much more area you could have with this shape compared to your pick from the rectangular Plans above. (2 marks)