Question 1128941
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A rug is to fit in a room so that a border of <s>even</s> UNIFORM width is left on all four sides. If the room is 13 feet by 21 feet, and the area of the rug is 153 square feet, how wide will the border be?
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x, the width of the surrounding border


Rug Area,  {{{(13-2x)(21-2x)}}}
Rug Area, GIVEN as  153 square feet


{{{highlight_green((13-2x)(21-2x)=153)}}}

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{{{273-42x-26x+4x^2=153}}}
{{{4x^2-68x+273=153}}}
{{{4x^2-68x+120=0}}}

{{{x^2-17x+30=0}}}

{{{(x-2)(x-15)=0}}}


{{{highlight(x=2)}}}
.

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