Question

Find the values of the variables X and Y in the given parallelogram

Answer 1

In the given parallelogram

From the property of diagonals of Parallelogram

The diagonals are bisect each other into equal parts

So, according to the figure

length 2x= length of y

2x=y

Similarly for the second diagonal,

length y+4=length3x

y+4=3x

Simplify the both equation by substitution method,

In substitution method, substitute the value of any one varibale and put into the another equation and simplify

`\begin{gathered} 2x=y \\ y=2x \\ \text{Substitute the value of y into the other equation} \\ y+4=3x \\ 2x+4=3x \\ 3x-2x=4 \\ x=4 \end{gathered}`

Now substitute the value of x=4 into the first equation and simplify for y

`\begin{gathered} x=4 \\ 2x=y \\ 2(4)=y \\ y=8 \end{gathered}`

So the value of varriables x = 4 and y=8

Answer : A) x=4, y=8