The diagonals AC and BD of a rectangle ABCD meet at point 'O'. If AO = (4p + 2) cm and BO = (3p + 5) cm, then the value of 'p' is:
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⇒ 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
Step-by-step explanation:
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