document.write( "Question 1017069: an equilateral triangle and a rectangle have the same perimeter. the length of a rectangle is 3 cm less tan twice the width. each side of a triangle is 12 cm. find the area of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #633403 by addingup(3677)\"\" \"About 
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The perimeter of the triangle is 12*3=36. And the rectangle has the same perimeter.
\n" ); document.write( "and the problem tells us that the length of the rectangle is:
\n" ); document.write( "L = 2W-3
\n" ); document.write( "Now, the perimeter of the rectangle is:
\n" ); document.write( "2L+2W = 36 Substitute for L:
\n" ); document.write( "2(2W-3)+2W = 36
\n" ); document.write( "4W-6+2W = 36
\n" ); document.write( "6W-6 = 36 Add 6, both sides:
\n" ); document.write( "6W = 42 Divide both sides by 6
\n" ); document.write( "W = 7 This is the width. And the length:
\n" ); document.write( "L= 2W-3 = 2(7)-3 = 14-3 = 11 is the length
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