A rectangle is 3 meters longer than it is wide. If the width of the rectangle is doubled and the length is decreased by 4 meters, the area is unchanged. Find original length and width

A rectangle is 3 meters longer than it is wide. If the width of the rectangle is doubled and the length is decreased by 4 meters, the area is unchanged. Find original length and width


Solution:

l=w+3 so 
 

After w is doubled and length is decreased by 4, 
 
Now since the area has not changed 



 
So width is 0 or 5m 
We can discard the 0 solution. 
Length is w+3, so length is 8m