Rachel wants to make some handicrafts to decorate her classroom. She has a rectangular piece of paper. The rectangle has a perimeter of 210 cm. If the length of the rectangle is 67 cm, how much longer is the length than the breadth ?

First, let's understand the formula for the perimeter of a rectangle. The perimeter (P) of a rectangle is given by the formula: P = 2(length + breadth).

In this case, we know that the perimeter is 210 cm and the length is 67 cm. We can substitute these values into the formula:

210 = 2(67 + breadth)

To solve for the breadth, we first simplify the right side of the equation:

210 = 134 + 2*breadth

Then, we subtract 134 from both sides to isolate the term with breadth:

210 - 134 = 2*breadth

76 = 2*breadth

Finally, we divide both sides by 2 to solve for breadth:

76 / 2 = breadth

So, the breadth of the rectangle is 38 cm.

To find out how much longer the length is than the breadth, we subtract the breadth from the length:

67 - 38 = 29

So, the length of the rectangle is 29 cm longer than the breadth.