SOLUTION: The length of a rectangle is four more than the width. If the area of the rectangle is 621 m2, find the width and length of the rectangle. Let w be the width. Therefore w + 4 is

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Question 325299: The length of a rectangle is four more than the width. If the area of the rectangle is 621 m2, find the width and length of the rectangle.
Let w be the width. Therefore w + 4 is the length.
w(w +4) = 621
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Distribute.


Subtract 621 from both sides.


Notice that the quadratic is in the form of where , , and


Let's use the quadratic formula to solve for "w":


Start with the quadratic formula


Plug in , , and


Square to get .


Multiply to get


Rewrite as


Add to to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Combine like terms.


or Simplify.


So the solutions are or

Ignore the negative solution (since a negative width doesn't make sense) to find that the width is meters.
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