Q15 of 31 Page 4

Quadrilateral EFGH is a rectangular in which J is the point of intersection of the diagonals. Find the value of x if JF = 8x + 4 and EG = 24x-8.

By the property of rectangle, the length of both the diagonals are equal.


Hence, FH = EG


2(JF) = EG


2(8x + 4) = (24x-8)


16x + 8 = 24x-8


8x = 16


x = 2

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