document.write( "Question 1196856: A kite inscribed in a square of side 4cm. Points X and Y are midpoints of the sides of a square (see the figure below). Find the area of a kite. What is its perimeter \n" ); document.write( "

Algebra.Com's Answer #829885 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A kite is inscribed in a square of side 4 cm. Points X and Y are midpoints
\n" ); document.write( "of the sides of the square. Find the perimeter and area of the kite.
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document.write( "The kite has two opposite vertices at two opposite vertices of the square.\r\n" );
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document.write( "Two shortest sides of the kite have the length of  4/2 = 2 cm each.\r\n" );
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document.write( "The longest side is the hypotenuse of the right-angled triangle with the legs \r\n" );
document.write( "of 2 cm and 4 cm long, so each longest side of the kite has the length \r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "Thus the perimeter of the kite is   = 12.944 cm (rounded).    ANSWER\r\n" );
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document.write( "To find the area of the kite, subtract the area of two triangles from the area of the original square.\r\n" );
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document.write( "You will get for the area   = 16 - 8 = 8 cm^2.    ANSWER\r\n" );
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