document.write( "Question 1053096: MATRICES: Inverse Matrix and Applications\r
\n" ); document.write( "\n" ); document.write( "The perimeter of a rentangular frame of a photo is 11 feet. If 3 times the height is equivelant to 8 times the width, how many feet does the width of the frame have?\r
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Algebra.Com's Answer #668359 by ikleyn(52782) $\"\"$ $\"About$

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document.write( "3L = 8W.\r\n" );
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document.write( "Divide both sides by 24. You will get\r\n" );
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document.write( "Let x be  = . Then\r\n" );
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document.write( "L = 8x, W = 3x.\r\n" );
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document.write( "The perimeter is  2W + 2L = 2*(3x) + 2*(8x).\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( "2*(3x) + 2*(8x) = 11.\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "6x + 16x = 11,\r\n" );
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document.write( "22x = 11,  x =  = 0.5 ft.\r\n" );
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document.write( "Then L = 8x = 8*0.5 = 4 ft;  W = 3x = 3*0.5 = 1.5 ft.\r\n" );
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document.write( "Answer.  4 ft x 1.5 ft.\r\n" );
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