FIGURE IS IN THE ATTACHMENT

GIVEN:

MP/PN=4/13

MO = 20.4 cm

In ∆ MNO, PQ || NO

MP / PN = MQ / QO

[ By basic proportionality theorem]

MP / PN = MQ / (MO - MQ)

[ QO = MO - MQ]

4 /13 = MQ / (20.4 - MQ)

4(20.4 - MQ) = 13 MQ

81.6 - 4 MQ = 13 MQ

81.6 = 13 MQ +4 MQ

81.6 = 17 MQ

MQ = 81.6 / 17

MQ = 4.8 cm