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Yuri [45]
3 years ago
12

30 POINTS! ANSWER ASAP PLEASE!!! WILL THANK ACCOUNT AND ALL ANSWERS!!

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

Answer:

  16.9 units

Step-by-step explanation:

Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...

  14.87 + 2 = 16.87 ≈ 16.9 . . . units

_____

The distance formula can be used to find the lengths of individual segments. It tells you ...

  d = √((Δx)² +(Δy)²)

where Δx and Δy are the differences between x- and y-coordinates of the segment end points.

If the segments are labeled A, B, C, D, E in order, the distances are ...

  AB = √(5²+1²) = √26 ≈ 5.099

  BC = √(1²+3²) = √10 ≈ 3.162

  CD = Δx = 3

  DE = √(3²+2²) = √13 ≈ 3.606

  EA = Δy = 2

Then the perimeter is ...

  P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867

  P ≈ 16.9

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