document.write( "Question 1113575: A rectangle is inscribed in a square so that each vertex of the rectangle is located on one side of the square, and the sides of the rectangle are parallel to the diagonals of the square. Suppose that one side of the rectangle is twice the length of the other and that the diagonal of the square is 12 meters long. Find the sides of the rectangle. Do it in statement reason. \n" ); document.write( "
Algebra.Com's Answer #728642 by rothauserc(4718)\"\" \"About 
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1. use Pythagorean Theorem to determine y^2 where y is the length of one side of the square since the interior angles of the square are right angles
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\n" ); document.write( "y^2 + y^2 = 12^2
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\n" ); document.write( "2y^2 = 144
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\n" ); document.write( "y^2 = 72
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\n" ); document.write( "2. use Pythagorean Theorem to determine x since the interior angles of the rectangle are right angles
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\n" ); document.write( "(2x)^2 + x^2 = y^2
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\n" ); document.write( "4x^2 + x^2 = 72
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\n" ); document.write( "5x^2 = 72
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\n" ); document.write( "x^2 = 72/5
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\n" ); document.write( "x = 6square root(2/5) = 3.79 meters
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\n" ); document.write( "length of rectangle is 7.58 meters
\n" ); document.write( "width of rectangle is 3.79 meters
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