In the diagram, SR = 4√2and QR = √10. What is the perimeter of parallelogram PQRS?

Solution:

From the figure,

P(-2, 5) Q(2, 1) R(1, -2) S(-3, 2)

We have to find the perimeter of the parallelogram PQRS

Given, distance between points S and R is 4√2 units

Distance between points Q and R = √10 units

Now, perimeter of parallelogram = 2(SR + QR)

Perimeter = 2(4√2 + √10)

Perimeter = 8√2 + 2√10 units.

Therefore, the perimeter of the parallelogram is 8√2 + 2√10 units.

In the diagram, SR = 4√2and QR = √10. What is the perimeter of parallelogram PQRS?

Summary:

In the diagram, SR = 4√2and QR = √10. The perimeter of parallelogram PQRS is 8√2 + 2√10 units