Question 1015459:  A rectangle has length 4 cm greater than its width. find its width given that its area is 96 cm2. 
 
 Found 2 solutions by  josgarithmetic, MathTherapy: Answer by josgarithmetic(39630)      (Show Source): 
You can  put this solution on YOUR website! You must literally follow the description, make the equation or equations, and solve the problem 
for any unknown variables.  I will do this here using ONLY variables without any actual values.
 
 
A rectangle has length k cm greater than its width. find its width given that its area is A cm2. 
Let w be width, and L be length.
 
 
 
 
 
Make the obvious substitution. 
  
  
 -----if you substitute your example's actual values here, you may find that the 
specific equation is factorable and easily solved; but otherwise, you can use your other skills 
about quadratic equations...
 
 
  
  
One of these might not make sense while the other of these WILL make sense.
 
 
Use any similar skills OR related skill to find L.  Note, you can start again forming a quadratic 
equation in L, or you can go back to L=w+k, substitute here for w, and solve for L that way.
 
 
Again, if you take the red-outlined equation and use the given values for YOUR example, 
finding w and L may be easier. 
 
 Answer by MathTherapy(10557)      (Show Source): 
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