Let the length = x
2 lengths are 2x.
Then you have 400 - 2x for both widths, so the width is 200 - x.
The are if the rectangle is
y = x(200 - x)
y = 200x - x^2
y = -x^2 + 200x
Take the first derivative ans set equal to zero to find a maximum value.
y' = -2x + 200
-2x + 200 = 0
-2x = -200
x = 100
Since the side of the rectangle is 100, all sides measure 100 ft, and you have a square.
The maximum area is 100 ft * 100 ft = 10,000 ft.
The length of AP is 14 units
Step-by-step explanation:
The centroid point of a triangle is:
- The point of intersection of the three medians of the triangle
- The centroid point divides each median into two segments at a ratio 2 : 1 from its vertex
- The length of the segment from the vertex to the centroid is
of the length of the median - The length of the segment from the centroid to the base is
of the length of the median
Look to the attached figure
In Δ ABC
∵ D is the mid-point of AB
∵ E is the mid-point of BC
∵ F is the mid-point of AC
∵ AE , BF and CD are the medians of the triangle
∵ AE , BF and CD are intersected at P
∴ P is the centroid of the triangle
- By using the rule above
∴ AP =
AE
∵ AE = 21 units
∴ AP =
× 21
∴ AP = 14 units
The length of AP is 14 units
Learn more:
You can learn more about the triangles in brainly.com/question/3358617
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