SSAT Math Question 320: Answer and Explanation
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Question: 320
9. The region in the figure shown is divided by lines A, B, C, and D. The area between A and C is 20 square miles, between B and D is 35 square miles, and between C and D is 30 square miles. What is the area in square miles between A and B?
- A. 5
- B. 10
- C. 15
- D. 25
Correct Answer: C
Explanation:
The answer is C
Clearly label the distances on the figure. Notice that BC + CD = BD, so you can solve for BC: BC + 30 - 35, meaning BC = 5. Notice, as well, that AC + BC = AC, so you can solve for AB: AB + 5 = 20, meaning AB = 15.