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Bunuel
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1 feet = 12 inch
The area of the rectangle = (10*12)*(12*12) square inch
Area of the square = 8*8 square inch
Total number of the square required = (10*12)*(12*12) square inch/8*8 square inch
= 270
each have 3 L shaped object
So total objects = 270*3
810
Answer should be A
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Bunuel

The figure above shows a large square formed by fitting three L shaped tiles and one small square tile together. If a rectangular floor 10 feet by 12 feet is to be tiled in large squares of this design, how many L-shaped tiles will be needed?

(A) 810
(B) 405
(C) 270
(D) 135
(E) 45

Attachment:
2017-10-11_1156_002.png

Let’s first determine the number of 8-in by 8-in large squares needed to cover the floor. To do so, let’s convert the dimensions of the floor to inches:

10 ft = 10 x 12 = 120 in and 12 ft = 12 x 12 = 144 in

Thus, the number of large squares needed is:

(120 x 144)/(8 x 8) = 15 x 18 = 270

We need 270 large squares; however, within each large square, there are 3 L-shaped tiles; thus, 270 x 3 = 810 L-shaped tiles are needed to cover the floor.

Answer: A
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Area of rectangular region in sq feet = 10 * 12 = 120
Since 1 feet = 12 inches
Area of rectangular region in sq inches = 120 * 144
Area of square in sq inches = 64
Number of squares required to cover rectangular region = (120 * 144) / 64 = 270
Number of L-shaped tiles in each square = 3
So, Total number of L-shaped tiles required = 270 * 3 = 810

Answer: A
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kaleem765's way is simpler actually. It is not mandatory to calculate each tile's area since that would be a waste of time. Kudos!
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