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:

⇒ In the given figure ABCD is a rectangle.

⇒ OA=2x+4 and OD=3x+1 [Given]

⇒ AC and BD are diagonals of a rectangle.

⇒ We know that diagonals of a rectangle are equal.

⇒ So, AC = BD

We can also write it as,

⇒ 2×OA=2×OD

⇒ 2×(2x+4) =2×(3x+1)

⇒ 2x+4=3x+1

∴ x=3