| 
 
 
| Question 1048957:  The length of a rectangle is 8 cm more than its width. If the length is decreased by 9 and the width is tripled, the area is increased by 50%. What was the area of the original triangle?
 
 Found 2 solutions by  josgarithmetic, ikleyn:
 Answer by josgarithmetic(39630)
      (Show Source): 
You can put this solution on YOUR website! What was the area of the original - did you mean to say, RECTANGLE? 
 
  
  , original area 
 Changed rectangle,
  , the 50% area increase. -
 
  
  
  
  
  
  -------steps might be not the best path, but this equation is still useful. 
 Re-substitute for A.
 
  
  ------substituted for w; 
  
  
  -
 Maybe the constant term is better factorable.
 
  -----or maybe this not too useful yet. -
 
  -----general solution of quadratic formula; 
  
  
  
  ---------97 is a prime number. 
 Approx,
  , and   
 
 If taking the PLUS form of L,
 
  Original area, 820
 
 If taking the MINUS form of L,
 
  Original area, 68
Answer by ikleyn(52879)
      (Show Source): 
 | 
  
 | 
 |