Question

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

Explanation:

Step1: Find length of WX

Use distance formula for two - dimensional points. For points W(-2,4) and X(2,4), since y - coordinates are the same, length $WX=\vert2 - (-2)\vert=4$.

Step2: Recall property of parallelogram

In parallelogram WXYZ, $WZ = XY=\sqrt{26}$ and $WX = ZY = 4$.

Step3: Calculate perimeter

Perimeter $P = 2WZ+2WX$. Substitute $WZ=\sqrt{26}$ and $WX = 4$ into the formula. $P=2\sqrt{26}+2\times4=2\sqrt{26}+8$.

Answer:

$2\sqrt{26}+8$ units