Select the correct answer from each drop-down menu. The length of side PQ is units. The length of side QR is about units. The perimeter of the parallelogram PQRS is about units. Reset Next

The length of side PQ is 2 units.

The length of side QR is 2.24 units.

The perimeter of the parallelogram PQRS is about 8.48 units.

Step-by-step explanation:

The given figure is as follows :

To find - The length of side PQ is ....... units.

              The length of side QR is about ......... units.

               The perimeter of the parallelogram PQRS is ........

Solution -

From the figure , we can see that

P = (-5, 3)

Q = (-3, 3)

R = (-4, 1)

S = (-6, 1)

Now,

By distance formula, we get

PQ = √(3 - 3)² + (-3 + 5)²

     = √0 + 2²

     = √4

     = 2

∴ we get

The length of side PQ is 2 units.

Now,

QR = √(1 - 3)² + (-4 + 3)²

     = √(-2)² + (-1)²

     = √4 + 1

     = √5

     = 2.236

∴ we get

The length of side QR is 2.24 units.

Now,

We know that,

Perimeter of Parallelogram = 2(a + b) where a is the base and b is the side

Here Given that,

a = 2

b = 2.24

So,

Perimeter of parallelogram PQRS = 2(2 + 2.24)

                                                         = 2(4.24)

                                                         = 8.48

∴ we get

The perimeter of the parallelogram PQRS is about 8.48 units.

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: