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Please help asap

 Apr 26, 2018
 #1
avatar+101416 
+2

1.  Let the width  = W

The length is 6 more than  this  = W + 6

 

So

 

Area  = W * L      and the equation becomes

 

40  = W ( W + 6)

 

2. We could actually "cheat" at this point and guess the solutions rather easily...but let's do that "boring" math !!!

 

We have

 

W(W + 6  ) = 40       simplify

 

W^2 + 6W = 40

 

W^2 + 6W  - 40  = 0          we need two numbers that sum to 6 and multiply to -40....10 and -4 seem to work...so we have

 

(W + 10 ) (W - 4)  = 0

 

Set each factor to 0 and solve for  W

 

W + 10  =0                                                                                      W - 4  = 0

W  = -10   (reject...Width has to be positive )                                  W  = 4    this is correct

 

And the Length is 6 more than this  = 4 + 6  = 10  ft   

 

 

 

cool cool cool

 Apr 26, 2018

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