document.write( "Question 938911: Rectangle A is 0.7x+1 cm long and 1.5x-2 cm wide.\r
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document.write( "Rectangle B is 2.5+x long and 4-1.3x wide.\r
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document.write( "The two rectangles have equal perimeters.\r
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document.write( "What are the dimensions of each rectangle? \n" );
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Algebra.Com's Answer #572055 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Rectangle A is 0.7x+1 cm long and 1.5x-2 cm wide. \n" ); document.write( "Rectangle B is 2.5+x long and 4-1.3x wide. \n" ); document.write( "The two rectangles have equal perimeters. \n" ); document.write( "What are the dimensions of each rectangle? \n" ); document.write( ": \n" ); document.write( "if the perimeters are equal the sum of the lengths and widths are equal \n" ); document.write( ".7x + 1 + 1.5x -2 = 2.5 + x + 4 - 1.3x \n" ); document.write( "Combine like terms \n" ); document.write( ".7x + 1.5x - x + 1.3x = 2.5 + 4 - 1 + 2 \n" ); document.write( "2.5x = 7.5 \n" ); document.write( "x = 7.5/2.5 \n" ); document.write( "x = 3 \n" ); document.write( "First rectangle \n" ); document.write( ".7(3) + 1 = 3.1 cm \n" ); document.write( " by \n" ); document.write( " 1.5(3) - 2 = 2.5 cm \n" ); document.write( "2nd rectangle \n" ); document.write( "2.5 + 3 = 5.5 cm \n" ); document.write( "by \n" ); document.write( " 4 - 1.3(3) = .1 cm \n" ); document.write( ": \n" ); document.write( "you can check the perimeters of both, ensure they are equal \n" ); document.write( " |