in the diagram, wz = √26. what is the perimeter of parallelogram wxyz? o 2√26 + 2 units o 2√26 + 4 units o…

in the diagram, wz = √26. what is the perimeter of parallelogram wxyz? o 2√26 + 2 units o 2√26 + 4 units o 2√26 + 6 units o 2√26 + 8 units w(-2,4) x(2,4) z(-3,-1) y(1,-1)

in the diagram, wz = √26. what is the perimeter of parallelogram wxyz? o 2√26 + 2 units o 2√26 + 4 units o 2√26 + 6 units o 2√26 + 8 units w(-2,4) x(2,4) z(-3,-1) y(1,-1)

Answer

Answer:

D. $2\sqrt{26}+8$ units

Explanation:

Step1: Find length of WX

W(-2,4) and X(2,4) have same y - coordinate. $WX=\vert2 - (-2)\vert=4$

Step2: Find length of XY

X(2,4) and Y(1, - 1). Use distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. $XY=\sqrt{(1 - 2)^2+(-1 - 4)^2}=\sqrt{(-1)^2+(-5)^2}=\sqrt{1 + 25}=\sqrt{26}$

Step3: Find perimeter of parallelogram

In parallelogram, opposite sides are equal. Perimeter $P = 2WX+2XY$. $P=2\times4 + 2\sqrt{26}=8 + 2\sqrt{26}$ units