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A floor tile has a pattern as shown below including a hexagon surrounded by 3 squares and 3 trapezoids. Find the AREA of the tile.



HINT: Area of hexagon = 6 x inscribed triangles = 6(1/2 x 15 x 22) cm2. Area of 3 squares = 3(15 x 15) cm2. Area of 3 trapezoids = 3(1/2 x 10 x (15 + 32.25)) cm2.




A floor tile has a pattern as shown below including a hexagon surrounded by 3 squares and 3 trapezoids. Find the AREA of the tile.



HINT: Area of hexagon = 6 x inscribed triangles = 6(1/2 x 15 x 22) cm2. Area of 3 squares = 3(15 x 15) cm2. Area of 3 trapezoids = 3(1/2 x 10 x (15 + 32.25)) cm2.




708.75 cm2


2373.75 cm2


990 cm2


675 cm2



Answer :

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