A thin rod 9 m 6 m long is cut into two so that one piece is 96 cm longer than the other what is the length of the piece

Answer 1

Let x be the length of the shorter piece and x + 96 be the length of the longer piece.

Since the total length of the rod is 9 m 6 m (or 960 cm), we can set up the equation:

x + (x + 96) = 960

Combining like terms, we get:

2x + 96 = 960

Subtracting 96 from both sides:

2x = 864

Dividing by 2:

x = 432

So, the length of the shorter piece is 432 cm and the length of the longer piece is 432 + 96 = 528 cm.