[img]2014m9x/ct_egreqj_egreqbj_0031_20148[/img] [br] AIn this question you are a

游客2025-02-24 24

问题

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选项

答案 A

解析 In this question you are asked to compare the area of rectangle A and the area of rectangle B. Since the information given relates the dimensions of both rectangle A and rectangle B to the corresponding dimensions of rectangle C, you can try to use the relationships to make the desired comparison.
If l represents the length of rectangle C and w represents its width, then the length and width of rectangles A and B can be translated into algebraic expressions as follows.
The length of rectangle A is 10 percent greater than the length of rectangle C, or 1.1l.
The width of rectangle A is 10 percent less than the width of rectangle C, or 0.9w.
The length of rectangle B is 20 percent greater than the length of rectangle C, or 1.2l.
The width of rectangle B is 20 percent less than the width of rectangle C, or 0.8w.
In terms of l and w, the area of rectangle A is(1.1l)(0.9w), or 0.99lw.
In terms of l and w, the area of rectangle B is(1.2l)(0.8w), or 0.96lw.
Since 0.99lw is greater than 0.96lw, Quantity A is greater than Quantity B, and the correct answer is Choice A.

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