document.write( "Question 1054040: A rectangle has a base of 2x+3 and a height of 4x+7. If the perimeter is 200 units, what is the value of x and the length of the base and height? \n" ); document.write( "
Algebra.Com's Answer #669253 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
base(b) = 2x+3
\n" ); document.write( ":
\n" ); document.write( "height(h) = 4x+7
\n" ); document.write( ":
\n" ); document.write( "Perimeter(P) of the rectangle = 2b + 2h
\n" ); document.write( ":
\n" ); document.write( "200 = 2(2x+3) + 2(4x+7)
\n" ); document.write( ":
\n" ); document.write( "200 = 4x+6 + 8x+14
\n" ); document.write( ":
\n" ); document.write( "200 = 12x + 20
\n" ); document.write( ":
\n" ); document.write( "divide both sides of = by 4
\n" ); document.write( ":
\n" ); document.write( "50 = 3x + 5
\n" ); document.write( ":
\n" ); document.write( "3x = 45
\n" ); document.write( ":
\n" ); document.write( "x = 15
\n" ); document.write( ":
\n" ); document.write( "*************************************
\n" ); document.write( "base(b) = 2x+3 = 2(15) + 3 = 33
\n" ); document.write( ":
\n" ); document.write( "height(h) = 4x+7 = 4(15) + 7 = 67
\n" ); document.write( ":
\n" ); document.write( "check answers
\n" ); document.write( ":
\n" ); document.write( "200 = 2(33) + 2(67) = 66 + 134 = 200
\n" ); document.write( ":
\n" ); document.write( "our answer checks
\n" ); document.write( "*************************************
\n" ); document.write( ":
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "
\n" );