document.write( "Question 102322: the lenght of a rectangle is 4 inches greater thatn the width the perimeter of the recatangle is 24 inches find the dimensions of the rectangle \n" ); document.write( "
Algebra.Com's Answer #74379 by doukungfoo(195)![]() ![]() You can put this solution on YOUR website! Perimeter of a rectangle is 2 times the length plus 2 times the width \n" ); document.write( "written as a formula it looks like this \n" ); document.write( "P = 2L + 2W \n" ); document.write( "Where P is perimeter \n" ); document.write( "L is length and \n" ); document.write( "W is width \n" ); document.write( "Ok so back to the rectangle in this problem \n" ); document.write( "Lets call the width x \n" ); document.write( "ok so \n" ); document.write( "width = x \n" ); document.write( "Now we are told that the length is 4 inches greater than the width \n" ); document.write( "ok well if the width is x then \n" ); document.write( "the length is x + 4 \n" ); document.write( "Finally we are told that the perimeter is 24 inches \n" ); document.write( "so lets put all this into the perimeter formula \n" ); document.write( "P = 2L + 2W \n" ); document.write( "24 = 2(x+4) + 2(x) \n" ); document.write( "24 = 2x + 8 + 2x \n" ); document.write( "24 = 4x + 8 \n" ); document.write( "16 = 4x \n" ); document.write( "4 = x \n" ); document.write( "Answer: the width is 4 inches \n" ); document.write( "now use this to find the length \n" ); document.write( "length is x + 4 \n" ); document.write( "so \n" ); document.write( "4 + 4 = 8 \n" ); document.write( "Answer: the length is 8 inches \n" ); document.write( "Check both answers in the perimeter formula \n" ); document.write( "P = 2L + 2W \n" ); document.write( "24 = 2(8) + 2(4) \n" ); document.write( "24 = 16 + 8 \n" ); document.write( "24 = 24\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |