On a coordinate plane, parallelogram p q r s is shown. point p is at (negative 2, 5), point q is at (2, 1), point r is at (1, negative 2), and point s is at (negative 3, 2). in the diagram, sr = 4 startroot 2 endroot and qr = startroot 10 endroot. what is the perimeter of parallelogram pqrs? startroot 10 endroot units 8 startroot 2 endroot + 2 startroot 10 endroot units 16 startroot 2 endroot units 8 startroot 2 endroot + 8 units

The perimeter is

Step-by-step explanation:

we know that

A parallelogram is a quadrilateral where both pairs of opposite sides are parallel and equal

so

In this problem

PS=QR ----> equation A

SR=PQ ----> equation B

The perimeter of parallelogram PQRS is

P=PQ+QR+SR+PS ----> equation C

substitute equation A and equation B in equation C

we have

substitute in the formula of perimeter

Step-by-step explanation:

The perimeter of a parallelogram is the sum of all sides, but this figure has two pair sides that are equal. So, from its definition we deduct that and .

So, the perimeter would be:

Therefore, the correct answer is the second option. The final expression of the perimeter cannot be added because they don't have similar roots that allow us to sum them.

what do you need me to answer?

step-by-step explanation: