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2021/22 AHSMC Part 1 Problem 2

Problem 2 of 16

A right triangle is cut out of a square as shown:

Figure for this problem

The shaded area is equal to

Answer choices

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Solution

By the Pythagorean theorem, the side length of the square is 55. Since the area of the triangle is 66, the shaded area is 25−6=1925 - 6 = 19. The answer is (D).

University of Alberta