Question

In the following figure, ABCD is a rectangle and its diagonals meet at O. Find x, if OA = 2x + 4

and OD = 3x + 1. Also find BD ​

Answer 1

Answer:

x= 3

BD = 20

Step-by-step explanation:

OA = OD

2x+4 = 3x+1

4-1 = 3x- 2x

3 = x

x = 3

BD = OD+ OB

[ OB = OD]

Therefore,

BD = 2 OD

= 2 (3x + 1)

= 2 ( 3×3 +1)

= 2 (9+1)

= 2× 10

BD = 20