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rbalexander25
14.02.2020 •
Mathematics
About 200 million years ago the North American F an African land masses we have today were side-by-side approximately how many centimeters per year did the land masses move away from each other if they are now 6000 km apart
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Ответ:
The answer is below
Step-by-step explanation:
Let x and y represent the length and the width of the play area. Hence:
xy = 60.5
y = 60.5 / x
The perimeter (P) of the play area is given as:
P = 2(x + y)
substitute for y:
P = 2(x + 60.5/x)
P = 2x + 121/x
The minimum area is at P' = 0. Hence:
P' = 2 - 121/x²
0 = 2 - 121 / x²
121 / x² = 2
x² = 60.5
x = √60.5
Also, y = 60.5 / x = 60.5 / √60.5
y = √60.5
Therefore the minimum perimeter is:
P = 2(√60.5 + √60.5) = 31.11 m