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0
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The area of a rectangular wall of a barn is 176 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn.

yojaymarojas  May 13, 2017
 #1
avatar+48 
+2

Lw=area

x(2x+6)=176

2x^2+6x=176

2x^2+6x-176=0

ParthForThree  May 13, 2017
edited by ParthForThree  May 13, 2017
 #2
avatar+92808 
+3

 

To  continue where ParthForThree left off

 

2x^2+6x-176=0     divide through by 2

 

x^2  +  3x  -  88  =  0        factor

 

(x + 11) ( x - 8)  = 0

 

Set both factors to 0  and solving for x  we get that x  = -11 ft  (reject)  or x  = 8 ft

 

This is the width    ......  and the length  =  2(8)  + 6  =  22 ft

 

 

 

cool cool cool

CPhill  May 13, 2017

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