SOLUTION: ​Parallelogram ABCD​ is a rectangle. AC=6y−1 BD=4y+13 What is the value of y?

Algebra.Com
Question 1188768: ​Parallelogram ABCD​ is a rectangle.

AC=6y−1
BD=4y+13

What is the value of y?

Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.

The diagonals of any rectangle are congruent,  therefore


    6y - 1  = 4y + 13

    6y - 4y = 13 + 1

      2y    = 14

       y    = 14/2 = 7.    ANSWER

Solved.



RELATED QUESTIONS

​ Parallelogram ABCD ​ is a rectangle. AC=6y−1 BD=4y+13 What... (answered by Alan3354)
If parallelogram ABCD is a rectangle and AC=2y+7 and BD=3y-4 What is the value of... (answered by MathLover1,MathTherapy)
Parallelogram ABCD is a rectangle. CX=3y−4 BD=2y What is the value of (answered by ikleyn)
Parallelogram ABCD is a rectangle. AC=2y+7 BD=3y−4 What is the... (answered by josgarithmetic)
Parallelogram ABCD is a rectangle. CX=3y−4 BD=2y What is the value of (answered by josgarithmetic)
Parallelogram ABCD is a rectangle. CX=3y−4 BD=2y What is the value of y? (answered by rothauserc)
Parallelogram ABCD ​ is a rectangle. AC=2y+7 BD=3y−4 What... (answered by MathLover1)
ABCD is a rectangle. what is the length of the diagonals if AC= 3y/5 and BD=... (answered by ewatrrr)
ABCD is a rectangle. find the length of BD, if AC=2x+1 and BD=x+8. (answered by ewatrrr)