Question

in the adjoining figure side AB of parallelogram in which AB = 8.5 cm and its perimeter is 24 cm find the length of each angles of the parallelogram

Answer 1

Answer:

ABCD is a parallelogram in which AB=8.5cm and the perimeter of parallelogram is 24cm

To find:

BC,CD and AD

Solution:

AB=CD(opposite side of llgram is equal) So, CD=8.5cm

As,the perimeter of parallelogram is =>sum of all sides

So,

AB+BC+CD+DA=24cm

8.5+BC+8.5+DA=24cm 17+BC+DA=24cm

17+2BC=24cm(as, BC and DA are

opp.sides,so BC=DA)

=>2BC-24-17

=>2BC=7

=>BC=7/2

=>BC=3.5cm

as, DA=BC(opp. sides are equal) So,DA 3.5cm

So,

AB=8.5cm

BC=3.5cm

CD=8.5cm

DA=3.5cm