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  3. [img]2014m9x/ct_egreqm_egreqjs_0095_20148[/img]What is the area of the region s

[img]2014m9x/ct_egreqm_egreqjs_0095_20148[/img]What is the area of the region s

游客2024-01-12  27
问题
What is the area of the region shown above?______
选项
答案 156
解析 In this question, you are asked to determine the area of the given region. One approach to solving this problem is to split the region into two rectangles, rectangle R and rectangle S, as follows.

The area of the region is the sum of the areas of the two rectangles. The area of rectangle R is(15)(8), or 120. Since the width of rectangle S is 12 - 8, or 4, the area of rectangle S is(9)(4), or 36. Thus, the area of the region is 120 + 36, or 156. The correct answer is 156.
Another approach to solving this problem is to form the region by removing a small rectangle from a rectangle with length 15 and width 12, as follows.
The area of the region is the area of the rectangle with length 15 and width 12 minus the area of the small rectangle. The area of the rectangle with length 15 and width 12 is(15)(12), or 180. Since the length of the small rectangle is 15 - 9, or 6, and the width of the small rectangle is 12 - 8, or 4, the area of the small rectangle is(6)(4), or 24. Thus, the area of the region is 180 - 24, or 156. The correct answer is 156.
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