document.write( "Question 1205660: A floor tile in the shape of rhombus has sides of length 52cm and a diagonal of length 48cm,find
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Algebra.Com's Answer #842608 by ikleyn(52781)\"\" \"About 
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document.write( "(1)  The diagonals of a rhombus are perpendicular and bisect each other.\r\n" );
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document.write( "     Therefore, half of the other diagonal is\r\n" );
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document.write( "         x = \"sqrt%2852%5E2-%2848%2F2%29%5E2%29\" = \"sqrt%2852%5E2-24%5E2%29\" = \"sqrt%282128%29\" = \"4%2Asqrt%28133%29\" = 46.13025  (approximately).\r\n" );
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document.write( "     Hence, the other diagonal is twice this value, or  2x = \"8%2Asqrt%28133%29\" = 92.2605  cm  (rounded).    ANSWER\r\n" );
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document.write( "(2)  The area of the rhombus is half the product of its diagonals\r\n" );
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document.write( "         area = \"%281%2F2%29%2A48%2A8%2Asqrt%28133%29\" = \"192%2Asqrt%28133%29\" = 2214.252  cm^2  (rounded).\r\n" );
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