Question

Figure ABCD is a rectangle. The length of segment AE is (2x - 3) units and the length segment EC is (4x - 13) units.



What is the length of diagonal BD?

28 units

14 units

26 units

10 units

Answer 1

@Callisto @ganeshie8

Answer 2

First, solve x. Remember what you did in the previous question?
The diagonals of the rectangle are the ____?

Answer 3

PQRS

Answer 4

Nope...
same/ different?

Answer 5

okay how do i solve x?

Answer 6

The diagonals are the same, so, you can equate the length of diagonals you have to solve x.

Answer 7

(2x - 3) (4x - 13)
So that is what im trying to solve?

Answer 8

(2x - 3) = (4x - 13)

Answer 9

ok so how do i solve it

Answer 10

Subtract 2x from both sides.
What do you get?

Answer 11

1

Answer 12

How did you get that??

Answer 13

(2x - 3) = (4x - 13)
Subtract 2x from both sides:
(2x - 3) -2x = (4x - 13) - 2x <- simplify it

Answer 14

Diagonals of rectangles bisect each other. Therefore AE = EC
4x - 13 = 2x - 3
2x = 10
x = 5

AE = 2(5) - 3 = 7
EC = 4(5) - 13 = 7
AC = AE + EC = 14

Diagonals of rectangle are congruent
BD = AC = 14

Answer 15

still so confused LOL

Answer 16

How?