Question

Parallelogram ABCD ​ is a rectangle.

CX=3y−4

BD=2y



What is the value of y?

Enter your answer in the box.
y =

Answer 1

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

Answer 2

we know that

If the parallelogram ABCD is a rectangle

then

`BD=AC\\AC=AX+CX\\AX=CX`

so

`2CX=BD` ------> equation A

Substitute the given values in the equation A

`2(3y-4)=2y`

Solve for y

`6y-8=2y`

`6y-2y=8`

`y=2`

therefore

the answer is

`y=2\ units`