Question

I don't understand what to do here. Can someone please explain?

Please show all of your steps in your answer.

Parallelogram PQRS is shown in the coordinate plane below. What is the perimeter of parallelogram PQRS?

Answer 1

42

Explanation:

Opposite sides of a parallelogram are congruent

You need to find the distance between Q(6, 6) and R(1, -6) using the distance formula.

PS = QR =
`\sqrt{(6 - 1)^(2) + (6 + 6)^(2) }`

=
`\sqrt{5^(2) + 12^(2) } = √(25 + 144) = √(169) = 13`

PQ = SR = 8

Perimeter = 13 + 13 + 8 + 8 = 42