document.write( "Question 1092179: The dimension of a rectangle are such that it's length is 5 in. more than its width. If the length were doubled and if the width were decreased by 5 in. the area would be increased by 162 in^2. What are the length and width of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #706761 by Boreal(15235)\"\" \"About 
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width=w
\n" ); document.write( "length=w+5 units inches
\n" ); document.write( "Area, A1= w(w+5)=w^2+5w
\n" ); document.write( "A2=2(w+5)(w-5)=2w^2-50
\n" ); document.write( "w^2+5w+162=2w^2-50
\n" ); document.write( "0=w^2-5w-212
\n" ); document.write( "w=(1/2)(5+/- sqrt (25+848); sqrt 873=29.55
\n" ); document.write( "positive root is w=17.28 inches ANSWER
\n" ); document.write( "length is 22.28 inches ANSWER
\n" ); document.write( "area is 385
\n" ); document.write( "double length and get 44.56
\n" ); document.write( "decrease width by 5 and get 12.28
\n" ); document.write( "area is 547.20, 162 more with rounding error.
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