document.write( "Question 82464: The dimensions of a rectangle are 6cm by 8cm. When both dimensions are increased by equal amounts, the area of the rectangle is increased by 208 square cm. Find the dimensions of the new rectangle. \n" ); document.write( "
Algebra.Com's Answer #59069 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! (6+X)(8+X)=6*8+208 \n" ); document.write( "48+14X+X^2=48+208 \n" ); document.write( "X^2+14X-208=0 \n" ); document.write( "USING THE QUADRATIC EQUATION WE GET: \n" ); document.write( "X=(-14+-SQRT[14^2-4*1*-208])/2*1 \n" ); document.write( "X=(-14+-SQRT[196+832])/2 \n" ); document.write( "X=(-14+-SQRT10280/2 \n" ); document.write( "X=(-14+-32.06)/2 \n" ); document.write( "X=(-14+32.06)/2 \n" ); document.write( "X=18.06/2 \n" ); document.write( "X=9.03 ANSWER. \n" ); document.write( "PROOF \n" ); document.write( "(6+9.03)(8+9.03)=48+208 \n" ); document.write( "15.03*17.03=256 \n" ); document.write( "256=256\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |