Question

WXYZ is a parallelogram with $XP\perp WZ$ and $ZQ\perp WX$. If WX = 8 cm, XP = 8 cm, ZQ = 2 cm. Find YX.

Answer 1

Area of parallelogram
= $height\times base$
When base is WX
Then height is ZQ
Area = $8\times 2$ …(i)
When base is ZW then height is XP
Area = $ZW\times XP$ …(ii)
Since, parallelogram is same hence area will also be same.
$8\times 2=8\times ZW$
ZW = 2 (ZW = XY).