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Nookie1986 [14]
3 years ago
9

Among all rectangles that have a perimeter of 202, find the dimensions of the one whose area is largest. Write your answers as f

ractions
reduced to lowest terms.
Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

How to write by fraction? 50 1/2 by 50 1/2

Step-by-step explanation:

the maximum area for a rectangle is a square.

To find a square with p = 202, divide it by 4,

202 / 4 = 50.5

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There are three answers and they are: choice 2, choice 3, choice 5

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Further Explanation:

Choice 1 is false because the intersection of the altitudes of a triangle leads to the orthocenter.

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Choice 2 is true because the three medians of any triangle always intersect at the centroid. A median is a line that goes from one vertex to the midpoint of the opposite side. In this case, we go from point E to the midpoint of side CD. The midpoint of CD is found by bisecting segment CD (see choice 5)

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Choice 3 is true. This is effectively the same as choice 5 below. The "perpendicular" aspect does not matter.

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Choice 4 is false. Following the steps mentioned here will create an altitude line (see choice 1)

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Choice 5 is true. To bisect something is to cut it in half. Let's say that point F is the midpoint of line segment CD. This means that line segment EF is one of the three medians of triangle CDE.

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edit update: I changed choice 3 from false to true

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