## Rae<3Rae 3 years ago .Figure ABCD is a rectangle. The length of segment AE is (5x - 7) units and the length of segment EC is (2x - 1) units. What is the length of diagonal BD

1. Rae<3Rae

no answeres i just want to know how to do it 8 units 6 units 12 units 10 units

2. dpaInc

since this is a rectangle, we know the diagnols bisect each other. i.e., 5x-7 = 2x -1 solve for x here and to get the length of the diagnol, plug x into 2(2x-1). and that will be your answer.

3. Rae<3Rae

kk thanks i will work it out but i might post it so that i can know if i am right or not

4. dpaInc

k.. did you get x= ?

5. Rae<3Rae

not yet hold on

6. dpaInc

yep..

7. Rae<3Rae

i got 10 units for the answer

8. dpaInc

hmmm. what did u get for x?

9. Rae<3Rae

3

10. dpaInc

i got x=2...

11. dpaInc

5x-7 = 2x -1 subtract 2x from both sides 5x - 2x - 7 = 2x - 2x - 1 3x - 7 = -1 add 7 to both sides 3x - 7 + 7 = -1 + 7 3x = 6 x = 2

12. Rae<3Rae

o okay i see what i did wrong thatnks alot

13. dpaInc

yw.. :) thanks for working the problem with me...:)

14. Rae<3Rae

np:D

15. dpaInc

:) just to be clear, length of the diagnol is 6 right?

16. Rae<3Rae

yeppers thanks for showing me how to do it do :D