document.write( "Question 30370: in rectangle ABCD side AB= 2x+6; side BC= 5y; side CD= 7y; and side DA= 2x+2. it wants to have what x equals and what y equals. i have tried several different ways of figuring this out but i'm clueless. please help for me to understand this problem and how to do it. \n" ); document.write( "
Algebra.Com's Answer #17046 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! ASSUMING THIS IS A RECTANGLE WITH PARALLEL AND EQUAL OPOSITE SIDES THEN\r \n" ); document.write( "\n" ); document.write( "7Y=2X+6 & 5Y=2X+2\r \n" ); document.write( "\n" ); document.write( "Y=(2X+6)/7 SUBSTITUTING Y IN THE SECOND EQUATION WE GET \n" ); document.write( "5(2X+6)/7)=2X+2 \n" ); document.write( "(10X+30)/7=2X+2 \n" ); document.write( "(10X+30)=7(2X+2) \n" ); document.write( "10X+30=14X+14 \n" ); document.write( "-4X=-16 \n" ); document.write( "4X=16 \n" ); document.write( "X=4\r \n" ); document.write( "\n" ); document.write( "7Y=2(4)+6 OR 7Y=8+6 OR 7Y=14 OR Y=2 \n" ); document.write( "5Y=2(4)+2 OR 5Y=8+2 OR 5Y=10 OR Y=2\r \n" ); document.write( "\n" ); document.write( "SIDES ARE 2X+6 2(4)+6 8+6=14 \n" ); document.write( " 2X+2 2(4)+2 8+2=10 \n" ); document.write( " 5(2)=10 & 7(2)=14 \n" ); document.write( " \n" ); document.write( " |