document.write( "Question 165644: The problem is - a rectangle has an area of 16ft^2. Every dimension is multiplied by a scale factor, and the new rectangle has an area of 64ft^2. What was the scale factor? The answer is to be formatted as \"k = \" I have no idea how to go about doing this problem. Can you help me, please? \n" ); document.write( "
Algebra.Com's Answer #122148 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! L*W = 16 \n" ); document.write( "K*L*K*W = 64 \n" ); document.write( "since a*b = b*a, and (a)*(b*c) = (a*b)*(c), this equation can become \n" ); document.write( "(K*K)*(L*W) = 64 \n" ); document.write( "since L*W = 16, this equation can become \n" ); document.write( "(K*K)*(16) = 64 \n" ); document.write( "divide both sides by 16 \n" ); document.write( "K*K = 64/16 = 4 \n" ); document.write( "K*K = 4 \n" ); document.write( "K = 2 \n" ); document.write( "----- \n" ); document.write( "your scaling factor is 2. \n" ); document.write( "----- \n" ); document.write( "you multiply each dimension by 2 which means the whole thing is multiplied by 4. \n" ); document.write( "-----\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |