A 12 x 12 inch brick is 1 square foot. A 20 x 20 (foot) patio is 400 square feet, so you would need 400 bricks.. this assumes you are butting the bricks fairly tight, not leaving large seperations between them, etc...
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Assuming the 12x12 bricks are 12 feet on each side, those are 144 square feet. The patio itself is 76 square feet. Unless you made a typo, not even one of those bricks is going to fit on the patio; you end up with about 0.5278 bricks.
you would need 12...
Gee, a square foot is 12x12, difficult problem.
225 bricks. 16in * 16in = 256 sq. in. 20ft = 240in. 240in * 240 in = 57,600 sq. in. 57,600 sq. in. / 256 sq. in. = 225. 225 bricks is your answer.