document.write( "Question 67488: An isosceles right triangle is removed from each corner of a square piece of paper so that a rectangle remains. What is the lenght of a diagonal of the rectangle if the sum of the areas of the cut-off pieces is 200? \n" ); document.write( "

Algebra.Com's Answer #48013 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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An isosceles right triangle is removed from each corner of a square piece of paper so that a rectangle remains. What is the length of a diagonal of the rectangle if the sum of the areas of the cut-off pieces is 200?
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\n" ); document.write( "Each triangle has an area of 200/4 = 50: let x = length of the two equal sides of the triangle.
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\n" ); document.write( "Find x:
\n" ); document.write( ".5(x^2) = 50
\n" ); document.write( "x^2 = 100
\n" ); document.write( "x = 10
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\n" ); document.write( "The length of the side of the original square would be 2x or 20
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\n" ); document.write( "The diagonal of the formed square would be the same, 20
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