Question

Figure ABCD is a rectangle. The length of segment AE is (2x + 1) units and the length of segment EC is (x + 7) units.

Posting pic now

What is the length of diagonal BD?
8 units
14 units
26 units
30 units

Answer 1

The diagonals of a rectangle bisect each other.
AE = EC
2x + 1 = x + 7
x = 6

2*6 + 1 = 13 which is a half diagonal

The diagonals of a rectangle are congruent.

Diagonal has length 2 * 13 = 26 --> Answer