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Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

In the figure above, all intersecting sides of the polygon meet at right angles. What is the area of the polygon?

(A) 108
(B) 104
(C) 102
(D) 98
(E) 96

答案和解析

答案：D

解析：

Choice (D) is correct. Adding shaded rectangles as in the figure above, the given polygon is seen to be a 12-by-9 rectangle with a 2-by-3 and a 2-by-2 rectangle removed. Therefore, the area of the polygon is (12x9)-(2x3)-(2x2), which is equal to 98.