Question

Parallelogram ABCD is a rectangle.

AC=5y−2

BD=4y+1



What is the value of y?

Enter your answer in the box.

y =

A rectangle A B C D. Side A B and side C D are parallel. Side A D and B C are parallel. Diagonal B D and A C intersect each other at a point labeled as X.

Answer 1

Because diagonals of a parallelogram are equal, set both problems equal to one another. Solving, you should get y=3

Answer 2

Answer:

$y=3$

Step-by-step explanation:

Given:  Parallelogram ABCD is a rectangle.

            $AC=5y-2$ and $BD=4y+1$

To find: Value of y

Solution: It is given that ABCD is a rectangle, and we know that the opposite sides of a rectangle, and the diagonals of a rectangle are always equal.

As, AC and BD are the diagonals of the rectangle, both will be equal.

So, on equating AC and BD we have,

$AC=BD$

$5y-2=4y+1$

$5y-4y=1+2$

$y=3$

Hence, the value of y is 3.