#problem solving y1 pure

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tropic widget
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so let x be one length of the rectangle and y be the other length

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the area is xy which is also 100

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rearrange for y = 100/x

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the perimeter, let's say P = 2x + 2y

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sub y in to get P = 2x + 200/x

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differentiate and set = 0 to find min/max point

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find x value which minimises P

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sub back into og equation to find y value

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you can differentiate again if you want to verify the x value you find is a min or max