Question

In parallelogram ABCD , BE=7x−2 and ED=x2−10 .

Answer 1

I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.

• 7x-2=x²-10
• x²-7x-8=0
• (x-8)(x+1)=0
• x = -1, 8

As distance must be positive, we reject the negative case, so x=8.

Thus, BE=ED=54.