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lesya692 [45]
3 years ago
10

Plz help I’ll mark Brainlynest

Mathematics
1 answer:
Olin [163]3 years ago
8 0

Answer:

  36.00 units

Step-by-step explanation:

Lengths of horizontal and vertical segments are easily determined by subtracting coordinates or counting grid squares:

  ST = 6 -1 = 5

  TR = 5 -(-1) = 6

  IP = 1 -(-6) = 7

  PE = 2 -(-3) = 5

The lengths of the diagonal segments are found using the Pythagorean theorem. Those lengths are the root of the sum of the squares of the rise and run. As before, you can determine those from counting squares or subtracting coordinates.

  RI = √(2^2 +5^2) = √29 ≈ 5.385

  ES = √(3^2 +7^2) = √58 ≈ 7.616

Then the perimeter is the sum of segment lengths:

  Perimeter = ST +TR +RI +IP +PE +ES

  = 5 + 6 + 5.385 +7 +5 +7.616 = 36.001

Rounded to hundredths, the perimeter is 36.00 units.

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