document.write( "Question 973110: The area of a rectangular restaurant kitchen is 80 square meters. The perimeter is 36 meters. What are the dimensions of the kitchen? \n" ); document.write( "
Algebra.Com's Answer #595359 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Area = length*width\r \n" ); document.write( "\n" ); document.write( "2L +2W=36 meters; L+W=18 meters, dividing both sides by 2.\r \n" ); document.write( "\n" ); document.write( "L*W=80 sq meters But L=18-W\r \n" ); document.write( "\n" ); document.write( "(18-W)*W=80\r \n" ); document.write( "\n" ); document.write( "-W^2+18W=80\r \n" ); document.write( "\n" ); document.write( "W^2-18W=-80, multiplying by (-1)\r \n" ); document.write( "\n" ); document.write( "W^2-18W+80=0\r \n" ); document.write( "\n" ); document.write( "(W-10)(W-8)=0 \n" ); document.write( "Width can be 10 or 8; by convention, we take the width as the lesser.\r \n" ); document.write( "\n" ); document.write( "Width is 8 \n" ); document.write( "Length is 10 \n" ); document.write( "Perimeter is 2(18)=36 m.\r \n" ); document.write( "\n" ); document.write( "Area is 8*10 m^2. \n" ); document.write( " |