ABCD is a rectangle whose diagonals intersect at O, if OA=(5x+4) and OD=(3x+12) then the value of ‘x’ is
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⇒ In 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 rectangle are equal.
⇒ So, AC = BD
We can also write it as,
⇒ 2×OA=2×OD
⇒ $$2\times(2x+4)= 2\time (3x+1)
⇒ 2x+4=3x+1
∴ x=3
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