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Minchanka [31]
3 years ago
13

A rectangle with an area of 120 in 2 has a length 8 inches longer than two times its width. What is the width of the rectangle?

Mathematics
1 answer:
nlexa [21]3 years ago
5 0

width = x

length = 2x+8

area = l x w

x<span>(2x+8)</span>=120

<span><span>2<span>x^2</span>+8x−120=0 </span> </span>

<span><span><span>x^2</span>+4−60=0 </span></span>

<span><span><span>(x+10)</span><span>(x−6)</span>=0</span> </span>

<span><span>x=−10 and x=6 </span></span>

<span><span> width has to be a positive number</span></span>

Width = <span>6 </span> inches.

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