Mathematics, 13.07.2020 22:01 musfirahkhurram

What is the perimeter of parallelogram WXYZ? √5 +√17 units
2√5+ 2√17 units
16 units
22 units

What is the perimeter of parallelogram WXYZ?

√5 +√17 units 2√5+ 2√17 units 16 units 22 units

Answers: 2

Show answers

Answers

Answer from: alex12everett

The perimeter of parallelogram WXYZ is 2√5 + 2√17 units or also known as about 12.72 units.

Step-by-step explanation:

In the diagram, we have a parallelogram. A parallelogram is a shape with two pairs of congruent sides. So, this means that we only need to find the measurement of two sides. From there, we are going to multiply those individual measurements by 2 because both has another side that is congruent to them. Lastly, we will add up all of the measurements to find the perimeter.

We can find the lengths by using the distance formula.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_2)^2}$

Let's find the length of WX.

$WX=\sqrt{(4-0)^2+(0-(-1))^2}$

$WX=\sqrt{((4)^2+(1)^2)}$

$WX=\sqrt{16+1}$

$WX=\sqrt{17}$

Now, we multiply this number by 2 because ZY is congruent to this side.

√17 × 2 = 2√17

Now, let's find the length of WZ.

$WZ=\sqrt{(0-(-1))^2+(-1-(-3))^2}$

$WZ=\sqrt{(1)^2+(2)^2}$

$WZ=\sqrt{1+4}$

$WZ=\sqrt{5}$

Now, we multiply this number by 2 because XY is congruent to this side.

√5 × 2 = 2√5

Now, we add these numbers together to get the perimeter.

2√5 + 2√17 = 12.72

Answer from: yorblayo17011

The required perimeter of parallelogram WXYZ is $2\times \sqrt5 + 2\times \sqrt17 \ units$ .

We have to determine, The perimeter of parallelogram WXYZ.

According to the question,

A parallelogram is a shape with two pairs of congruent sides. So, this means need to find the measurement of two sides.

From there, multiply those individual measurements by 2 because both has another side that is congruent to them. Lastly, add up all of the measurements to find the perimeter.

To find the lengths by using the distance formula,

$d = \sqrt{(x_2-x_1)^{2}+ (y_2-y_1)^{2}} \\\\WX = \sqrt{(4-0)^{2}+ (0-(-1))^{2}} \\\\WX = \sqrt{16+1} \\\\WX = \sqrt{17}$

Then, multiply this number by 2 because ZY is congruent to this side.

$\sqrt{17} \times 2= 2 \sqrt{17}$

Now, let's find the length of WZ by using distance formula,

$d = \sqrt{(x_2-x_1)^{2}+ (y_2-y_1)^{2}} \\\\WZ = \sqrt{((-1)-(-3))^{2}+ (0-(-1))^{2}} \\\\WX = \sqrt{4+1} \\\\WX = \sqrt{5}$

Now, multiply this number by 2 because XY is congruent to this side.

$=\sqrt{5} \times 2= 2\sqrt{5}$

Therefore, adding these numbers together to get the perimeter of parallelogram WXYZ,

Perimeter of parallelogram WXYZ $=2\times \sqrt5 + 2\times \sqrt17 \ units$

Hence, The required perimeter of parallelogram WXYZ is $2\times \sqrt5 + 2\times \sqrt17 \ units$ .

To know more about Parallelogram click the link given below.

link

Answer from: Quest

answer: my brother can figure it out, imma go get him so i can answer : ) edit: my brother is sleeping, sorry man

step-by-step explanation:

Answer from: Quest

Vhjjkkvvhjj

Another question on Mathematics

Mathematics, 21.06.2019 17:00

Scarlet bought three pairs of sunglasses and two shirts for $81 and paula bought one pair of sunglasses and five shirts for $105 what is the cost of one pair of sunglasses and one shirt?

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

Yesterday i ran 5 miles. today, i ran 3.7 miles. did my percent increase, decrease or is it a percent error? plz i need

Answers: 2

Answer

Mathematics, 21.06.2019 23:00

The value of cos 30° is the same as which of the following?

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

Intro biblioteca sunt 462 de carti cu 198 mai putine enciclipedii si cu 47 mai multe dictionare decat enciclopedii cate enciclopedii sunt in biblioteca

Answers: 1

Answer

You know the right answer?

What is the perimeter of parallelogram WXYZ? √5 +√17 units
2√5+ 2√17 units
16 units

Questions

Mathematics, 09.10.2019 14:50

If 60 marks is 40%, how much is full marks (show your working out)?...

Mathematics, 09.10.2019 14:50

Question 7 (essay worth 5 points) (7.03) an equation is shown below: 4(2x - 5) + 15 = 11 write the steps...

Mathematics, 09.10.2019 14:50

Find the area of the circle with the given radius or diameter. use = 3.14. d = 12 a = 56.52 113.04 452.16...