Question

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

Answer 1

Answer:

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.