Respuesta :


BD=AC=2CX
2y=2(3y-4)
y=3y-4
2y=4
y=2

we know that


If the parallelogram ABCD is a rectangle

then

[tex]BD=AC\\AC=AX+CX\\AX=CX[/tex]

so

[tex]2CX=BD[/tex] ------> equation A

Substitute the given values in the equation A

[tex]2(3y-4)=2y[/tex]

Solve for y

[tex]6y-8=2y[/tex]

[tex]6y-2y=8[/tex]

[tex]y=2[/tex]

therefore

the answer is

[tex]y=2\ units[/tex]