2. 职称英语
  3. [img]2014m9x/ct_egreqj_egreqjs_0013_20148[/img]In the rectangular solid above,

[img]2014m9x/ct_egreqj_egreqjs_0013_20148[/img]In the rectangular solid above,

游客2025-02-24  21
问题
In the rectangular solid above, TU = 3, UV = 4, and VR = What is the area of the shaded rectangular region?______
选项
答案 10
解析 To find the area of the shaded rectangular region, you need to multiply the length of the rectangular region by its width. In this question you are given the lengths of three edges: TU = 3, UV = 4, and VR = 2. Note that VR is the length of the shaded rectangle. To find the width of the shaded rectangle, you need to find either RS or VT. Note that VT lies on the front face of the rectangular solid. It is the hypotenuse of right triangle VUT. You know that UV = 4 and TU = 3, so by the Pythagorean theorem you can conclude that VT == 5. Therefore, the area of the shaded rectangular region is(5)(2)= 10. The correct answer is 10.
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