document.write( "Question 286991: In rectangle ABCD, AB=(x-5y+94), BC= 3x+2y-82), CD= (4x-6y+55), and DA= (5x+4y-164). Find the perimeter of the rectangle. \r
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document.write( "Could you please help me on this problem?
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Algebra.Com's Answer #208098 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! the opposite sides of a parallelogram (rectangle) are equal \n" ); document.write( "___ this leaves you with a system of equations in x and y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - 5y + 94 = 4x - 6y + 55 ___ 3x - y = 39\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x + 2y - 82 = 5x + 4y - 164 ___ 2x + 2y = 82 ___ x + y = 41 ___ y = 41 - x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituting ___ 3x - (41 - x) = 39 ___ 4x = 80 ___ x = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituting ___ y = 41 - (20) = 21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "plug in the values for x and y to find the perimeter (sum of the sides) \n" ); document.write( " |