document.write( "Question 858573: 1. The perimeter of a rectangle is 38 inches. If the length of the rectangle is six inches less than four times the width, find the area of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #517259 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Perimeter = 2L + 2W \n" ); document.write( "2L + 2W = 38 \n" ); document.write( "L = 4W - 6 [the length of the rectangle is six inches less than four times the width] \n" ); document.write( "Substitute the known value of L from the second equation into the first. \n" ); document.write( "2(4W-6) + 2W = 38 \n" ); document.write( "Distribute \n" ); document.write( "8W-12+2W = 38 \n" ); document.write( "Add the Ws \n" ); document.write( "10W - 12 = 38 \n" ); document.write( "Add 12 to each side \n" ); document.write( "10W = 50 \n" ); document.write( "Divide each side by 10 \n" ); document.write( "W = 5 \n" ); document.write( ". \n" ); document.write( "If W is 5, then L =(4*5)-6 \n" ); document.write( "L = 20-6 \n" ); document.write( "L = 14 \n" ); document.write( ". \n" ); document.write( "To find the area, multiply the length times the width. \n" ); document.write( "5 * 14 = 70 square inches \n" ); document.write( " |