[img]ct_gre5image018[/img]The diagram represents a rectangular garden. The shad

游客2025-02-24 22

问题

The diagram represents a rectangular garden. The shaded regions are planted in flowers, and the unshaded region is a walk 2 feet wide. All angles are right angles.

Column A Column B
The sum of the areas of the shaded regions 2,800 square feet

选项 A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given

答案 D

解析左图是一个长方形花园的示意图，阴影区域中种植了花，非阴影区域是一条2英尺宽的路。所有的角度都是直角。
解：本题的正确答案为(D)。因为图中并没有指明2英尺宽的路在什么位置，所以路的面积和阴影部分的面积都是不定的。但是两者面积的和是一定的(40×80=3200平方英尺)。路在中间位置时，路的面积最小，阴影部分的面积最大：阴影部分的面积=40×80-(2+2)(2+2)=3184当路在四周时，路的面积最大，阴影部分的面积最小：阴影部分的面积=(40-2-2)×(80-2-2)=2736所以阴影部分的面积在2736与3184之间。

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