Question

WXYZ is a parallelogram.Find the value of a: a= What is the length of WX? WX=

Answer 1

It is given that the queadrilateral WXYZ is a parallelogram.

By the property of parallelogram the opposite sides are equal length so it follows:

`\begin{gathered} 6a+10=8a-4 \\ 8a-6a=10+4 \\ 2a=14 \\ a=7 \end{gathered}`

Hence the value of a is 7.

The length WX is given by:

`WX=6a+10=6(7)+10=52`

Hence a=7 units and WX=52 units.