christib
26.06.2020 •
Mathematics
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 1100 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?
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Ответ:
Length = 550 m
Width = 275 m
Area = 151,250 m2
Step-by-step explanation:
One side of the farmland is bounded by the river, so the perimeter we will need to enclose is:
And the area of the farmland is given by:
From the Perimeter equation, we have that:
Using this in the area equation, we have:
Now, to find the largest area, we need to find the vertex of this quadratic equation, and we can do that using the formula:
This width will give the maximum area of the farmland. Now, finding the length and the maximum area:
Ответ:
A reflection across the X-axis
a 90° counterclockwise rotation about point D.
Step-by-step explanation:
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