SAT数学Problem Solving练习题（32）
- 2017年07月26日14:09 来源：互联网
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摘要：下面是小站SAT频道为大家整理了SAT数学Problem Solving练习题(32)，供考生们参考，以下是详细内容。
以下是小站SAT频道为大家整理了SAT数学Problem Solving练习题(32)，供考生们参考，以下是详细内容。
Question 32: The side AB of the ABCD square is 10, AE = ED and BF = FC. What is the area of parallelogram BFDE?
(a) 20
(b) 25
(c) 50
(d) 60
(e) 75
Answer: The easiest way to solve this problem is to notice that we can calculate the area of the parallelogram BFDE by subtracting twice the area of triangle ABE from the area of the square ABCD.
The area of the square ABCD is 10·10 = 100.
The area of triangle ABE is (1/2)·AB·AE = (1/2)·10·5 = 25.
In conclusion, the area of parallelogram BFDE is 100 - 2·25 = 50.
