ABCD is a rectangle. Its diagonals meet at O. Find the value of X if BO=3x+4 and OC=X+8. Also find the length of its diagonals.
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Answer:
Correct option is
B
3
⇒ 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
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