document.write( "Question 889687: 1) The area of a room is 20m2. If its length is increased by 3m and its width is increased by 1m, the area will be enlarged by 100%. Find the original dimensions of the room. \n" ); document.write( "
Algebra.Com's Answer #538361 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! L * W = A \n" ); document.write( "L * W = 20m^2 \n" ); document.write( ". \n" ); document.write( "If you increase the length by 3 and the width by 1, the area will then be twice as large. \n" ); document.write( "(L+3) * (W+1) = 40m^2 \n" ); document.write( ". \n" ); document.write( "Here's one way to do it: \n" ); document.write( "The factors of 40 are - \n" ); document.write( "40,1 \n" ); document.write( "20,2 \n" ); document.write( "10,4 \n" ); document.write( "8,5 \n" ); document.write( "The factors of 20 are - \n" ); document.write( "20,1 \n" ); document.write( "10,2 \n" ); document.write( "5,4 \n" ); document.write( "Which of the factors of 20 can be put into the equation (L+3) * (W+1) = 40m^2 to make it true? \n" ); document.write( "Only 5,4 (which becomes 8,5) is possible. \n" ); document.write( "The original dimensions are 5m x 4m. The revised dimensions are 8m x 5m. \n" ); document.write( " \n" ); document.write( " |