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The area of a rectangle is 20 cm The length is 8 more than the width. Find the width in cm.

 Apr 7, 2020
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Area  = L * W

 

20  = L * W  

 

And       L  =  W + 8

 

So this implies  that

 

20 =  (W + 8) * W      simplify

 

W^2  + 8W  = 20

 

W^2  + 8W  - 20  =   0       factor

 

(W - 2) ( W + 10)  =  0

 

Only  the  first factor  set  to 0  gives us a positive result

 

W - 2  = 0

 

W  = 2  cm

 

 

cool cool cool

 Apr 7, 2020

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