A rectangle is five times as long as it is wide. if it were 24 cm shorter and 24cm wider, it would be a square. what are the dimensions?

Let w = width of the rectangle then

5w = length

Now since the sides of a square have equal length we get

5w - 24 = w + 24

4w = 48 therefore

width = 12 and so the length = 5*12 = 60