Question

PQRS is a parallelogram, in which PQ = 12 cm and its perimeter is 40 cm. Find the length of the side PS​

Answer 1

Answer:

8cm

Step-by-step explanation:

PQ 12cm

Perimeter 40cm

Now in parallelogram PQRS ,

PQ=SR,PS=QR (property of parallelogram opposite sides are parallel )

So,PQ=SR=12cm and PS=QR=x

So ,the perimeter if parallelogram is 40cm

Now,

PQ+SR+PS+QR=40cm

12cm+12cm+x+x=40cm

24cm+2x=40cm

2x=40-24=16

2x=16

x=16/2=8

So,

PS =8cm

Here is your answer.....

Answer 2

Given: A parallelogram PQRS

           PQ = 12 cm and Perimeter = 40 cm

To find: Length of side PS

Let: Side PS = X

Solution: According to the given question,

PQRS is a parallelogram and side PQ = 12 cm

Since the opposite sides of a parallelogram are equal, side opposite to PQ i.e., RS would be equal to PQ in length

.: RS = 12 cm

Similarly, side QR = PS i.e., X

Now, given that perimeter = 40 cm

.: Perimeter = 2 ( Length + Breadth)

Length = PS = X and Breadth = PQ = 12 cm

⇒ 40 = 2(PS + PQ)

⇒ 40 = 2(X + 12)

⇒ 40 = 2X + 24

⇒ 2X = 40 - 24 = 16

⇒ X =  16/2 = 8

Hence, length of side PS is 8 cm.