SOLUTION: A floor tile in the shape of rhombus has sides of length 52cm and a diagonal of length 48cm,find 1)the length of the other diagonal 2)the area of the floor tile.

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Question 1205660: A floor tile in the shape of rhombus has sides of length 52cm and a diagonal of length 48cm,find
1)the length of the other diagonal
2)the area of the floor tile.
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
A floor tile in the shape of rhombus has sides of length 52 cm and a diagonal of length 48 cm, find
1) the length of the other diagonal
2) the area of the floor tile.
~~~~~~~~~~~~~~~~~~~~~~ 

(1)  The diagonals of a rhombus are perpendicular and bisect each other.


     Therefore, half of the other diagonal is

         x =  =  =  =  = 46.13025  (approximately).


     Hence, the other diagonal is twice this value, or  2x =  = 92.2605  cm  (rounded).    ANSWER



(2)  The area of the rhombus is half the product of its diagonals

         area =  =  = 2214.252  cm^2  (rounded).

Solved.



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