document.write( "Question 114005: The area of a rectangle is 24 square meters. Find the length and width of the rectangle if its length is 2 meters greater than its width. Use an equation and the formula Ž area of a rectangle = (width)(length). \n" ); document.write( "

Algebra.Com's Answer #93988 by JessicaGill(40) $\"\"$ $\"About$

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Formula $\"l%2Aw=a\"$ \r
\n" ); document.write( "\n" ); document.write( "If we assign w to the width, then we know that the lenght (l) is equal to 2*w. So we could write the equation out as such $\"2w%2Aw=24m%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "First simplify $\"2w%2Aw=2w%5E2\"$ to $\"2w%5E2=24\"$ Leave off the m^2 for sake of ease.\r
\n" ); document.write( "\n" ); document.write( "Now we must divide both sides by 2 $\"2w%5E2%2F2=24%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( "Result
\n" ); document.write( " $\"w%5E2=12\"$ \r
\n" ); document.write( "\n" ); document.write( "Now to further simplify we need to take the square root of each side\r
\n" ); document.write( "\n" ); document.write( "Result $\"sqrt%28w%5E2%29=sqrt%2812%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"w=3.464\"$ \r
\n" ); document.write( "\n" ); document.write( "If we plug this value back in to the formula $\"2w%2Aw=24m%5E2\"$ we will get $\"%282%2A3.464%29%2A3.464=24\"$
\n" ); document.write( " $\"6.928%2A3.464=24m%5E2\"$
\n" ); document.write( " $\"24=24\"$ This is approximate as the decimals are quite long.\r
\n" ); document.write( "\n" ); document.write( "Thanks,
\n" ); document.write( "Ms. G \n" ); document.write( "

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