document.write( "Question 1180557: If the length of the base of a rectangle is increased by 20% and the length of the altitude is increased by 30%, by
\n" );
document.write( "what percentage is the area increased? \n" );
document.write( "
Algebra.Com's Answer #810270 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "An increase of 20% in the length means 20% of the original length is ADDED. That's the same as MULTIPLYING the length by 100%+20%=120%, or 1.2. \n" ); document.write( "Similarly adding 30% to the width is the same as multiplying the width by 130%, or 1.3 \n" ); document.write( "Virtually all problems involving percent increases or percent decreases are worked far more easily if you think in terms of multiplying the given measurement by a factor -- e.g., 1.3 (=1.30=130%) for an increase of 40%, or 0.9 (=0.90=90%) for a decrease of 10%. \n" ); document.write( "The length is increased by a factor of 1.2; the width is increased by a factor of 1.3. The area is increased by a factor of (1.2)*(1.3)=1.56; that represents and increase of 56% in the area. \n" ); document.write( " \n" ); document.write( " |