Question

in rectangle ABCD, BD and AC are diagonals and intersect at E. If BD = 84 units and AE = 6y, what is the value of y

Answer 1

y = 7

Explanation:

The diagonals of a rectangle are congruent and bisect each other, then

AC = BD , that is

AE + EC = BD [ AE = EC = 6y ]

6y + 6y = 84

12y = 84 ( divide both sides by 12 )

y = 7