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Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  x = 12

  perimeter = 124

Step-by-step explanation:

The midline RS is half the length of MN, so we have ...

  2×RS = MN

  2(x +3) = 5x -30

  2x +6 = 5x -30

  36 = 3x . . . . . . . . . add 30-2x

  12 = x . . . . . . . . . . divide by 3

__

The length RS is then ...

  RS = x +3 = 15

and the perimeter of QRS is ...

  P(QRS) = QR +RS +SQ = 25 +15 +22 = 62

The perimeter of QRS is half the perimeter of MNP, so ...

  P(MNP) = 2×P(QRS) = 2×62 = 124

The perimeter of ΔMNP = 124.

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