document.write( "Question 100904: Neena drew a rectangle with an area of 108 square millimeters. Its length was three times as long as its width. What was the length and width of Neena's rectangle? \n" ); document.write( "

Algebra.Com's Answer #73461 by doukungfoo(195) $\"\"$ $\"About$

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Lets call the width x
\n" ); document.write( "Now define the length in terms of x
\n" ); document.write( "Given: the length is three times as long as the width
\n" ); document.write( "length = 3x
\n" ); document.write( "Given: area of rectangle is 108 square millimeters
\n" ); document.write( "Now since we know that the area of a rectangle equals length times width
\n" ); document.write( "we can write a formula to solve for x
\n" ); document.write( "(length)(width) = area
\n" ); document.write( " $\"%283x%29%28x%29=108\"$ multiply terms
\n" ); document.write( " $\"3x%5E2=108\"$ divide both sides by 3
\n" ); document.write( " $\"x%5E2=36\"$ take square root of both sides
\n" ); document.write( " $\"x=6\"$
\n" ); document.write( "Answer: width is 6 millimeters
\n" ); document.write( "Next we can find the length
\n" ); document.write( "length = 3x
\n" ); document.write( "length = 3(6)
\n" ); document.write( "length = 18
\n" ); document.write( "Answer: length is 18 millimeters
\n" ); document.write( "Check answers with the formula for area
\n" ); document.write( "length times width = area
\n" ); document.write( "(18)(6)=108
\n" ); document.write( "108=108\r
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