document.write( "Question 816549: [ The length of the rectangle is 8 centimeters less than twice the width. The area of the rectangle is 24 centimeters squared. Determine the dimensions of the rectangle in centimeters ] \n" ); document.write( "

Algebra.Com's Answer #491561 by TimothyLamb(4379) $\"\"$ $\"About$

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L = 2w - 8
\n" ); document.write( "Lw = 24
\n" ); document.write( "---
\n" ); document.write( "Lw = 24
\n" ); document.write( "(2w - 8)w = 24
\n" ); document.write( "2w^2 - 8w - 24 = 0
\n" ); document.write( "---
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\n" ); document.write( "the above quadratic equation is in standard form, with a=2, b=-8, and c=-24
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\n" ); document.write( "to solve the quadratic equation, plug this:
\n" ); document.write( "2 -8 -24
\n" ); document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "the roots of the quadratic are:
\n" ); document.write( "w = 6
\n" ); document.write( "w = -2
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\n" ); document.write( "the negative root doesn't make sense for a length, so use the positive root
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\n" ); document.write( "Answer:
\n" ); document.write( "w = 6 cm
\n" ); document.write( "L = 4 cm
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Convert fractions, decimals, and percents:
\n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php
\n" ); document.write( "---
\n" ); document.write( "Calculate and graph the linear regression of any data set:
\n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( "

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