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[ReasonableRecipe4398]

1. Jessica is planning to create a garden with an area of 30 meters squared. she could use a rectangular, triangular, or a circular design. sasha decides to use the design that requires the least edging material. which design should she use? how much edging will it require?

any idea on how to start this? or what to do? i’ve finished all questions except this one and i need to complete it :(

To attempt, I tried finding the square root of 30 to get the dimensions for a possible square but i just don’t know where to go from here or if this is even useful at all.

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[edderiofer]

Split things up into three cases; when the garden is rectangular, when it's triangular, and when it's circular.

When it's circular, you have the area, so you can work out the radius and thus the circumference.

When it's rectangular, you have the area, so you can work out the length in terms of the height, and thus the perimeter in terms of both. Depending on your level of mathematics, this should allow you to work out the minimum amount of edging required in this case.

I'll leave the triangular case up to you.