ABCD is a rectangle and O is the point of intersection of its diagonals, if OA = 3x+ 8 and OD = 5x-2 then write the value of x.

ABCD is a rectangle and O is the point of intersection of its diagonal

1.	ABCD is a rectangle and O is the point of intersection of its diagonals, if OA = 3x+ 8 and OD = 5x-2 then write the value of x.
Answer» <html><body><p>X=3Step-by-step explanation:⇒ In the <a href="https://interviewquestions.tuteehub.com/tag/given-473447" style="font-weight:bold;" target="_blank" title="Click to know more about GIVEN">GIVEN</a> <a href="https://interviewquestions.tuteehub.com/tag/figure-987693" style="font-weight:bold;" target="_blank" title="Click to know more about FIGURE">FIGURE</a> ABCD is a rectangle.⇒ OA=2x+4 and OD=3x+1 [Given]⇒ AC and BD are <a href="https://interviewquestions.tuteehub.com/tag/diagonals-950735" style="font-weight:bold;" target="_blank" title="Click to know more about DIAGONALS">DIAGONALS</a> of a rectangle.⇒ We know that diagonals of a rectangle are equal.⇒ So, AC = BDWe can also <a href="https://interviewquestions.tuteehub.com/tag/write-746491" style="font-weight:bold;" target="_blank" title="Click to know more about WRITE">WRITE</a> it as,⇒ 2×OA=2×OD⇒ 2×(2x+4) =2×(3x+1)⇒ 2x+4=3x+1∴ x=3answer is X=3</p></body></html>