Points A, B, C, D do not lie in the same plane. Points M, N, Q, P are the midpoints of segments AB, BD, CD, AC.

Points A, B, C, D do not lie in the same plane. Points M, N, Q, P are the midpoints of segments AB, BD, CD, AC. Find the perimeter of the quadrangle МNQP if AD = 12cm, BC = 14cm.

MN – middle line in ABD track, so MN = AD / 2 = 6 cm
PQ – middle line in the ADC line, so PQ = AD / 2 = 6 cm
PM – the middle line in the ABC line, so PM = BC / 2 = 7 cm
QN is the middle line in the BDC track, so QN = BC / 2 = 7 cm
Desired perimeter:
P = 6 + 6 + 7 + 7 = 26 cm
Answer: 26 cm