document.write( "Question 101570: A home decor center was given a drawing on which a rectangular room measured 3 1/2 inches by 5 3/4 inches. The scale of the drawing was 1 inch respresented 5 feet. Find the dimensions of the room. \n" ); document.write( "
Algebra.Com's Answer #73930 by doukungfoo(195) You can put this solution on YOUR website! The scale we are given tells us that 1 inch = 5 feet. \n" ); document.write( "So to find the feet that 3 1/2 inches represents just mulitply 3 1/2 by 5 \n" ); document.write( "And to find the feet that 5 3/4 inches represents just multiply 5 3/4 by 5 \n" ); document.write( "Ok so lets do the 3 1/2 first \n" ); document.write( "3 1/2 * 5 \n" ); document.write( "convert 3 1/2 to an improper fraction \n" ); document.write( "to do this multiply the denominator 2 times the whole number 3 and add the numerator 1. This is the numerator for the improper fraction. The denominator remains the same so \n" ); document.write( "3 1/2 = 7/2 \n" ); document.write( "now we are ready to multiply by 5 \n" ); document.write( "7/2 * 5/1 = 35/2 \n" ); document.write( "convert back to a mixed number and you get 17 1/2 \n" ); document.write( "this is the first dimension: 17 1/2 feet \n" ); document.write( "now do the same thing with 5 3/4 \n" ); document.write( "5 3/4 * 5 \n" ); document.write( "convert 5 3/4 to an improper fraction \n" ); document.write( "to do this multiply the denominator 4 times the whole number 5 and add the numerator 3. This is the numerator for the improper fraction. The denominator remains the same so \n" ); document.write( "5 3/4 = 23/4 \n" ); document.write( "now we are ready to multiply by 5 \n" ); document.write( "23/4 * 5/1 = 115/4 \n" ); document.write( "convert back to a mixed number and you get 28 3/4 \n" ); document.write( "this is the second dimension: 28 3/4 feet \n" ); document.write( "So the actual dimensions of the room are 17 1/2 feet by 28 3/4 feet \n" ); document.write( " \n" ); document.write( " |