Question

What is the perimeter of parallelogram WXYZ

/5- /17 units
2/5+2/17 units
16 units
22 units

The points of the parallelogram are
X4.0)
W(0.-1
Y(3.-2
Z-1,-3)

Answer 1

Explanation:

Given a parallelogram with points

X(4, 0)

W(0, -1)

Y(3, -2)

Z(-1, -3)

We want to find the perimeter, perimeter is the total sum of the lengths

So, we need to find the length of the sides using distance between two points

D = √(x2-x1)² + (y2-y1)²

So, applying this

WX = √(0-4)²+(-1-0)² = √(16 + 1) = √17

XY = √(4-3)² + (0--2)² = √(1+4) = √5

Since the opposite sides of a parallelogram are equal, we don't need to find the other length

Then,

Perimeter = 2(WX + XY)

Perimeter = 2(√17 + √5)

Perimeter = 2√17 + 2√5

The correct answer is B.