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Essay text:
22
2. 27
3. 31
4. 37
5. 45
Choice (C) is correct. Right triangle ABC has AB = 3 and BC = 4. The area of this triangle is . By the Pythagorean theorem, the length of the hypotenuse, , is 5 since AC2 = 32 + 42 = 9 + 16 = 25. Since AC = 5, the length of each side of the square is 5, and the area of the square is 52, or 25. The total area of ABCDE is thus 6 + 25 = 31.
If 3 is subtracted from the square root of x, the result is 8. What is the value of x ? 1 ?
1. 10
2. 24
3. 60
4. 66
5. 120
Choice (E) is correct. Translating the information about x gives the equation ? 3 = 8. From this, it follows that = 11, and therefore, x = 112 = 121...
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