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)\"\" \"About 
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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).
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\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)
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