Question

r o s e is rectangle its diagonals meet at x. find x if rx - 2x + 4 and ox - 3x + 1​

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)=2x(3x+1) → 2x+4=3x+1

.. x=3

Answer 2

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