Question

In rectangle ABCD,

AE = 3x-1 and DE = 5x-7

What is the length of each diagonal?

Question 1 options:

3


8


16


6

Answer 1

The answer is 16

Thanks HomertheGenius

Answer 2

The diagonals of a rectangle are congruent.
And since AE and DE are both halves of a diagonal:
AE = DE
3 x - 1 = 5 x - 7
7 - 1 = 5 x - 3 x
6 = 2 x
x = 6 : 2 = 3
AC = 2 * AE = 2 * ( 3 * 3 - 1 ) = 2 * ( 9 - 1 ) = 2 * 8 = 16
Answer:
C ) 16