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

What is the length of diagonal BD?

8 units

14 units

26 units

30 units

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

anonymous · Answer

attachment

ash2326 · Answer

@Math_Is_Confusing123 what's the relation between diagonals of a rectangle?

anonymous · Answer

The relatoins between the diagnols are that they are congruent and they bisect each other.

ash2326 · Answer

Bisect:)
so what's the relation beweenn AE and EC?

anonymous · Answer

They are congruent?

ash2326 · Answer

so
$$AE=BC$$
then
$$2x+1=x+7$$
Can you find x from this?

anonymous · Answer

and you get x = 6?

ash2326 · Answer

great:)
Could you find the diagonal's length?

anonymous · Answer

the diagnols are 13 each so you would add them together and get 26?

ash2326 · Answer

yes:) you're correct:D

anonymous · Answer

Okay! thank you! :D

ash2326 · Answer

welcome:)