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the area of a rectangular wall of a barn is 30 square feet. It's length is 4 feet longer than twice width. Find the length and width of the wall of the barn

User Cephron
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1 Answer

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Answer:

Width is 3 feet

Length is 10 feet

Explanation:


LW=30\\L=2W+4\\\\(2W+4)W=30\\2W^2+4W=30\\2W^2+4W-30=0\\\\W=(-4\pm√(4^2-4(2)(-30)))/(2(2))=(-4\pm√(16+240))/(4)=(-4\pm√(256))/(4)=(-4\pm16)/(4)=-1\pm4=-5,3

Since the width cannot be negative, we choose
W=3 as the correct width. Therefore, the length would be
L=2(3)+4=6+4=10.

User Jenilee
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