Question

in the diagram, wz = √26. what is the perimeter of parallelogram wxyz? 2√26 + 2 units 2√26 + 6 units 2√26 + 4 units 2√26 + 8 units

Explanation:

Step1: Recall parallelogram property

In parallelogram WXYZ, WZ = XY and WX = ZY.

Step2: Calculate length of WX

W(-2,4) and X(2,4). Using distance formula for points with same y - coordinate $d=\vert x_2 - x_1\vert$. Here $x_1=-2,x_2 = 2$, so $WX=\vert2-(-2)\vert=4$.

Step3: Calculate perimeter formula

Perimeter $P = 2WZ+2WX$. Given $WZ=\sqrt{26}$ and $WX = 4$.

Step4: Substitute values

$P=2\sqrt{26}+2\times4=2\sqrt{26}+8$.

Answer:

$2\sqrt{26}+8$ units