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  • 06-03-2020
  • Mathematics
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The area of a rectangular wall of a barn is 192 sq. ft. It’s length is 8 ft. longer than twice it’s width. Find the length and width of the wall of the barn?

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example193 example193
  • 06-03-2020

Answer:

width is -4+ [tex]\sqrt{13[/tex] and it's length is 4+ [tex]\sqrt{13[/tex].

Step-by-step explanation:

Let it's width be X. Then the area is x(x+8) = x^2+8x= 192. This is equal to [tex]x^2+8x - 192 = 0[/tex] . X = -4 Plus/Minus [tex]\sqrt{13[/tex]. Since x is positive, it's width is -4+ [tex]\sqrt{13[/tex] and it's length is 4+ [tex]\sqrt{13[/tex].

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