document.write( "Question 971100: 2. The length of a flower garden is twice the width and its area is 288 m2. Find the width and length of the garden \n" ); document.write( "
Algebra.Com's Answer #593713 by josh_jordan(263)\"\" \"About 
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Area of a rectangle is Area = Length x Width\r
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\n" ); document.write( "\n" ); document.write( "We are told that the length is twice the width. In other words, L = 2W\r
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\n" ); document.write( "\n" ); document.write( "We are told the area is 288 meters\r
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\n" ); document.write( "\n" ); document.write( "Now, we can set this up as an equation, be replacing A with 288 and L with 2W:\r
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\n" ); document.write( "\n" ); document.write( "288 = 2W x W\r
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\n" ); document.write( "\n" ); document.write( "Multiply 2W by W: \"2W%5E2=288\"\r
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\n" ); document.write( "\n" ); document.write( "Divide both sides by 2, giving us:\r
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\n" ); document.write( "\n" ); document.write( "\"W%5E2=144\"\r
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\n" ); document.write( "\n" ); document.write( "Now, to get rid of the square in \"W%5E2\", take the square root of both sides, giving us:\r
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\n" ); document.write( "\n" ); document.write( "\"W=sqrt%28144%29\"\r
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\n" ); document.write( "\n" ); document.write( "Finally, find the square root of 144, which is 12. \r
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\n" ); document.write( "\n" ); document.write( "Note that because a side of a flower bed cannot be a negative number, when we take the square root of both sides, we do not have to add the +- sign before the square root.\r
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\n" ); document.write( "\n" ); document.write( "So, the Width = 12 meters\r
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\n" ); document.write( "\n" ); document.write( "To find the length, replace the A with 288 and replace the W with 12. This gives us:\r
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\n" ); document.write( "\n" ); document.write( "288 = 12L\r
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\n" ); document.write( "\n" ); document.write( "Now, solve for L by dividing both sides of the equation by 12. This gives us:\r
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\n" ); document.write( "\n" ); document.write( "24 = L\r
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\n" ); document.write( "\n" ); document.write( "So, the Length = 24 meters.\r
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\n" ); document.write( "\n" ); document.write( "Final Answer: Length = 24 meters and Width = 12 meters
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