document.write( "Question 1054435: A triangular poster is twice as long as its height. A rectangular banner is 3 inches longer than its width. Both the poster and the banner have areas of 648 square inches. What is the height and base of the poster? What is the length and width of the banner? \n" ); document.write( "

Algebra.Com's Answer #669750 by Fombitz(32388) $\"\"$ $\"About$

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For the triangle,
\n" ); document.write( " $\"b=2h\"$
\n" ); document.write( " $\"A=%281%2F2%29bh=648\"$
\n" ); document.write( " $\"%281%2F2%29%282h%29h=648\"$
\n" ); document.write( " $\"h%5E2=648\"$
\n" ); document.write( " $\"h=18sqrt%282%29\"$ $\"in\"$
\n" ); document.write( " $\"h=36sqrt%282%29\"$ $\"in\"$
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\n" ); document.write( "For the rectangle,
\n" ); document.write( " $\"L=3%2BW\"$
\n" ); document.write( " $\"A=L%2AW=648\"$
\n" ); document.write( " $\"%283%2BW%29W=648\"$
\n" ); document.write( " $\"W%5E2%2B3W-648=0\"$
\n" ); document.write( " $\"%28W-24%29%28W%2B27%29=0\"$
\n" ); document.write( "Only positive W values make sense here,
\n" ); document.write( " $\"W-24=0\"$
\n" ); document.write( " $\"W=24\"$ $\"in\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"L=3%2B24\"$
\n" ); document.write( " $\"L=27\"$ $\"in\"$
\n" ); document.write( " \n" ); document.write( "

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