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3 years ago

7

A side of one polygon is 18 meters and the corresponding side of a second similar polygon is 24 meters. If the perimeter of the

first polygon is 16 meters and it's area is 1000 square meters find the perimeter and area of the similar polygon

1 answer:

AleksandrR [38]3 years ago

7 0

The perimeter of a polygon is proportional to its side so:
18 : 16
24 : p
p = 21.3 meters

Area is proportional to the square of the side of a polygon so:
18² : 1000
24² : x
x = 1,777.8 square meters

Note: The value of the perimeter should not be less than the length of one side. The data may be incorrect. Regardless, the method will be the same.

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Answer:

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Step-by-step explanation:

Let's find the points $A$ and $B$ .

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$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

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