Question

please solve the question above​

Answer 1

Solution:

For side AB:

As it is given that, O is the midpoint of side AB,

AO = 1/2(AB)

=> AO = 1/2 * 60 cm

=> AO = 30 cm

For side AC:

As it is given that, N is the midpoint of side AC,

AN = 1/2(AC)

=> AN = 1/2 * 42 cm

=> AN = 21 cm

Now,

As O and M are the midpoints of AB and BC respectively,

by mid point theorem,

OM || AC

and OM = 1/2(AC)

=> OM = 1/2(42) cm

=> OM = 21 cm

Again,

As M and N are the midpoints of AC and BC respectively,

by mid point theorem,

MN || AB

and MN = 1/2(AB)

=> MN = 1/2(60) cm

=> MN = 30 cm

So,

perimeter of quadrilateral AOMN (which is a parallelogram) = AO + OM + MN + AN

=> Perimeter of AOMN = 30 + 21 + 30 + 21 cm

=> Perimeter of AOMN = 102 cm