Question

In a rectangle RENT, the diagonals meet at O. If OR=2x+4 and OT=3x+1, find x

Answer 1

x = 3

Explanation:

In a rectangle the diagonals bisect each other and are congruent, thus

OT = OR , substitute values

3x + 1 = 2x + 4 ( subtract 2x from both sides )

x + 1 = 4 ( subtract 1 from both sides )

x = 3