In this blog we are going to tell you about What is the perimeter of parallelogram WXYZ?, so read this blog carefully to get the complete information.

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

Answer: The perimeter of parallelogram WXYZ is 2√5 + 2√17 units. It can also be written as 12.72 units.

Answer Explanation:

In the diagram, we have given a parallelogram so we will explain to you step by step how you will calculate the perimeter of a parallelogram. A parallelogram is a figure with two pairs of congruent sides so this implies that we only have to find the measurement of two sides. And then we can multiply those individual measurements by 2 as both have another side that is congruent to them. At last, we can add up all of the measurements to get the perimeter.

So firstly let’s find the lengths by using the distance formula.

d = √(x2 – x1)² + (y2 – y1)²

By this, the length of WX will be-

WX = √(4-0)² + (0 – (-1))²

WX = √(4)² + (1)²

WX = √16+1

WX = 17

Now, we multiply this number by 2 because ZY is congruent to the WX side so we will get- √17 × 2 = 2√17

Now, let’s find the length of WZ.

WZ = √(0 – (-1))² + (-1 – (-3))²

WZ = √(1)² + (2)²

WZ = √1 + 4

WZ = √5

Now, we multiply this number by 2 because XY is congruent to the WZ side so we will get- √5 × 2 = 2√5.

Now, on adding these numbers together to get the perimeter we will get-

2√5 + 2√17 = 12.72 units

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The bottom line

So overall, you can find the perimeter of any figure by adding the length of the sides of the figure. But as in the case of a parallelogram, the opposite sides are congruent so we just have to calculate two sides by distance formula and the other two sides will automatically be known and then you have to add up all the sides. By this method of calculating the perimeter of parallelogram WXYZ will be 2√5+ 2√17 units.

Conclusion

We Hope this blog is sufficient enough to provide the information about What is the perimeter of parallelogram WXYZ?. Thanks for reading this blog.