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  3. In the rectangular figure above, the area of the shaded region is equal to the a

In the rectangular figure above, the area of the shaded region is equal to the a

游客2025-02-27  32
问题 In the rectangular figure above, the area of the shaded region is equal to the area of the non-shaded rectangle. If AB=6, BC=4, and the longer side of the non-shaded rectangle is an integer, what is one possible measurement for the shorter side of the non-shaded rectangle?
选项 A、 
B、 
C、 
D、 
E、 
答案 D
解析 The larger rectangle has an area of 24, so the non-shaded rectangle must have an area of 12. Starting with the answer choices for the length of the shorter side, we can divide them into 12 until we find a valid length for the longer side. A would give us 16 for the longer side, which wouldn’t work because that wouldn’t fit inside another rectangle with 6 as the longest side. B would give us 12 for the longer side, which is still too big. C gives us 8, which is also too big. D gives us 5, which is possible and therefore is the correct answer.
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