document.write( "Question 68313: The area of a rectangle is 216ft.2 (squared) The length of the rectangle is 18 ft. If a scale drawing of the figure has a scale of 1/2in. = 6 ft. What are the dimensions of the rectangle on the scale drwaing. \n" ); document.write( "
Algebra.Com's Answer #48615 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
area of rectangle = length(l) times width(w) or \"A=lw\" \r
\n" ); document.write( "\n" ); document.write( "\"216=18w\" divide both sides by 18
\n" ); document.write( "\"w=12+ft\"\r
\n" ); document.write( "\n" ); document.write( "Now lets deal in feet:\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29+inch=%281%2F24%29+ft\"\r
\n" ); document.write( "\n" ); document.write( "Now we have two ratios to deal with:
\n" ); document.write( "First, the length
\n" ); document.write( "\"%28%281%2F24%29%2F6%29=x%2F18\" cross multiply\r
\n" ); document.write( "\n" ); document.write( "\"6x=18%2F24\" divide both sides by 6
\n" ); document.write( "\"x=3%2F24=%281%2F8%29+ft\" or
\n" ); document.write( "\"x=%281.5%29+inches\"------------------------------length scaled down\r
\n" ); document.write( "\n" ); document.write( "Next the width
\n" ); document.write( "\"%28%281%2F24%29%2F6%29=x%2F12\" cross multiply
\n" ); document.write( "\"6x=12%2F24\" divide both sides by 6
\n" ); document.write( "\"x=2%2F24=1%2F12+ft\" or
\n" ); document.write( "\"x=%281%29+inch\"-----------------------------width scaled down\r
\n" ); document.write( "\n" ); document.write( "\"1.5=%283%29+halves\"
\n" ); document.write( "\"3%286%29=18\"
\n" ); document.write( "\"18=18\"\r
\n" ); document.write( "\n" ); document.write( "\"1=%282%29+halves\"
\n" ); document.write( "\"2%286%29=12\"
\n" ); document.write( "\"12=12\"\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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