document.write( "Question 857630: The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #516686 by JulietG(1812) You can put this solution on YOUR website! The perimeter is a fence around. It consists of 2 pieces of length and 2 pieces of width. \n" ); document.write( "2L + 2W = 72 \n" ); document.write( "W = 3L (we'll call the base the 'width', and the height the 'length') \n" ); document.write( "Substitute the value of W in the second equation into the first. \n" ); document.write( "2L + 2(3L) = 72 \n" ); document.write( "Multiply \n" ); document.write( "2L + 6L = 72 \n" ); document.write( "Add \n" ); document.write( "8L = 72 \n" ); document.write( "Divide each side by 8 \n" ); document.write( "L = 9 \n" ); document.write( "If the length is 9, then the width is 27 (3 times the height). \n" ); document.write( ". \n" ); document.write( "Let's check the answer. \n" ); document.write( "For a perimeter fence with 2 pieces at 27 and 2 pieces at 9, we have \n" ); document.write( "27+27+9+9 = 72 \n" ); document.write( "72 = 72 \n" ); document.write( "Success! \n" ); document.write( ". \n" ); document.write( "Now that we know the length and width, we can find the area by multiplying them. \n" ); document.write( "9\" * 27\" = 243 square inches \n" ); document.write( "(Check my math to be certain) \n" ); document.write( " |