Question

ABCD is a rectangle .Its diagonals meet at O. Find x , if OB = 5x+4 and OA = 3x+8.

Answer 1

$&#9645 \: ABCD \: is \: any \: rectangle$

We know that,

The diagonals of the rectangle are equal and bisect each other.

$\mathbf {According \: to \: the \: question,} \\ \implies \mathbb {3x + 8 = 5x + 4} \\ \implies \:3x - 5x = 4 - 8 \\ \implies - 2x = - 4 \\ \implies \: x = \frac{ - 4}{ - 2} \\ \\\implies \boxed{ \red {\: x = 2}}$