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Question

RENT is a rectangle. Its diagonals meet at O. Find 𝑥 if OR = 2𝑥 + 4 and OT = 3𝑥 + 1.

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Solution

In a rectangle, diagonals are equal and bisect each other.
In rectangle PQRS,
RO = OT
2x+4=3x+13x2x=41x=3 cm

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