Question

Figure ABCD is a rectangle. The length of segment AE is (2x - 3) units and the length segment EC is (4x - 13) units.Rectangle ABCD with point E as the point of intersection of the two diagonals. The length of AE is labeled (2x – 3) and the length of EC is labeled (4x -13).What is the length of diagonal BD?28 units14 units26 units10 units

Answer 1

Here is the answer choices:
a. 28 units


b.14 units

c.26 units

d.10 units

Answer 2

so

2x-3=4x-13
13-3=4x-2x
10=2x
x=5

so than there are a half part of diagonal BD=2x-3=2*5-3=10-3=7
and the second part of diagonal BD=4x-13=20-13=7

so than the diagonal BD has a lenght of 7+7=14 units

Answer 3

so b. is right

Answer 4

Thank you