Question

Figure ABCD is a rectangle. The length of segment AE is (5x - 7) units and the length of segment EC is (2x - 1) units.

Rectangle ABCD with point E as the point of intersection of the two diagonals. The length of AE is labeled (5x – 7) and the length of EC is labeled (2x - 1).

What is the length of diagonal BD?
Answer

6 units

8 units

10 units

12 units

Answer 1

5x-7=2x-1
5x-2x=7-1
3x=6
x=2

5(2)-7+2(2)-1
10-7+4-1
=6