Question

Rent is a rectangle. its diagonal meet at o, find x, if or=2x+4 and ot=3x+1.

Answer 1

or = 2x + 4 
ot = 3x + 1
or=ot
2x + 4 = 3x + 1
4 - 1 = 3x - 2x
3 = x

Answer 2

Answer:

The value of x is 3.

Solution:

Note: Refer the image attached below.

Given that, OT=3x+1; OR=2x+4  

The diagonals in a rectangle have the same length.

$\therefore A R=B T$

from the above we can state that OT=OR

$\therefore O R=\frac{A R}{2}=\frac{T B}{2}=O T$

$3 x+1=2 x+4$

$3 x-2 x=3$

$1 x=3$

$x = 3$

$\therefore$ the value of x is 3.