document.write( "Question 282202: The perimeter of an equilateral triangle is 45 inches.A rectangle whose width is 1-3 its length has a perimeter of 48 inches.Which figure has the longest side and why? \n" ); document.write( "

Algebra.Com's Answer #204944 by oberobic(2304) $\"\"$ $\"About$

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The perimeter of an equilateral triangle = 3s, where s=length of the each side.
\n" ); document.write( "3s = 45
\n" ); document.write( "s = 15
\n" ); document.write( ".
\n" ); document.write( "A rectangle has perimeter = 2(l+w)
\n" ); document.write( "We're told
\n" ); document.write( "w = l-3 and perimeter = 48
\n" ); document.write( "48 = 2(l + l-3)
\n" ); document.write( "2(2l -3) = 48
\n" ); document.write( "2l -3 = 24
\n" ); document.write( "2l = 27
\n" ); document.write( "l = 13.5
\n" ); document.write( ".
\n" ); document.write( "w = l-3 = 13.5-3 = 10.5
\n" ); document.write( ".
\n" ); document.write( "checking perimeter
\n" ); document.write( "2(13.5 + 10.5) = 48??
\n" ); document.write( "2(24) = 48
\n" ); document.write( "correct!
\n" ); document.write( "so
\n" ); document.write( "l = 13.5
\n" ); document.write( "w = 10.5
\n" ); document.write( ".
\n" ); document.write( "The question asks which figure has the longest side.
\n" ); document.write( "Answer:
\n" ); document.write( "Equilateral triangle has the longest sides at 15 inches.
\n" ); document.write( ".
\n" ); document.write( "Done \n" ); document.write( "

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