document.write( "Question 497872: a rectangle and a square have the same width but the rectangle in 6m longer than the square. Their total area is 176 sq. m. Find the dimensions of each figure \n" ); document.write( "
Algebra.Com's Answer #336984 by cleomenius(959) You can put this solution on YOUR website! \n" ); document.write( "The area of the square is x^2. \n" ); document.write( "The area of the rectangle is (x)*(x+6) \n" ); document.write( "x^2 + (x) *(x + 6) = 176 \n" ); document.write( "x^2 + x^2 + 6x = 176 \n" ); document.write( "2x^2 + 6x - 176 \n" ); document.write( "2(x + 3 - 88) \n" ); document.write( "(x - 8)(x+ 11) \n" ); document.write( "x = 8. \n" ); document.write( "================================================ \n" ); document.write( "For the square, the area is: \n" ); document.write( "8*8= 64 sq meters. \n" ); document.write( "For the rectangle, the area is: \n" ); document.write( "8*14 = 112 sq meters. \n" ); document.write( "64 + 84 = 176 square meters. This does check. \n" ); document.write( "Cleomenius.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |