首页
外语
计算机
考研
公务员
职业资格
财经
工程
司法
医学
专升本
自考
实用职业技能
登录
外语
In the figure above, if the shaded region is rectangular, what is the length of XY? (1) The perimeter of the shaded region is 24
In the figure above, if the shaded region is rectangular, what is the length of XY? (1) The perimeter of the shaded region is 24
admin
2022-10-18
57
问题
In the figure above, if the shaded region is rectangular, what is the length of XY?
(1) The perimeter of the shaded region is 24.
(2) The measure of ∠XYZ is 45°.
选项
A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C、BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient.
E、Statements (1) and (2) TOGETHER are NOT sufficient.
答案
C
解析
Determine XY.
(1) Letting L and W be the length and width of the shaded rectangular region, then from (1), L + W= 12. This does not give enough information about △XZY to determine XY; NOT sufficient.
(2) From (2), △XZY is a 45°-45°-90° triangle, so XZ = YZ and XY = XZ
, but no information is given to determine XZ; NOT sufficient.
Taking (1) and (2) together and using the figure below, from (2), △XRP is a 45°-45°-90° triangle, so XR = PR=QZ= W. Likewise APQY is a 45°-45°-90° triangle, so PQ = YQ = RZ = L. It follows that XZ = XR + RZ=W+L and W+ L= 12 from (1). Likewise, YZ=YQ+QZ = L+W= 12. Since the length of the legs of △XZY are known, XY can be determined.
The correct answer is C;
both statements together are sufficient.
转载请注明原文地址:https://kaotiyun.com/show/RttO777K
本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
0
GMAT QUANTITATIVE
GMAT
相关试题推荐
Notlongago,Ihadmyfirston-linechat.Ithoughtitwouldbe【C1】______becauseIhaveheardsomanypeopledescribeitintha
WhatdowemeanbyaperfectEnglishpronunciation?Inone【C1】______therearemanydifferentkindsofEnglishastherearespeak
Televisionhasopenedwindowsineverybody’slife.Youngmenwillneveragaingotowarastheydidin1914.Millionsofpeople
TheChinesehaveusedamethodcalledacupuncturetohelpperformoperationsforabout4,000yearswithoutputtingthepatient
Packagingisaveryimportantformofadvertising.Apackagecansometimesmotivatepeopletobuyproducts.Forexample,alittl
Itwassuggestedthat________bigeventliketheYearofRussiainChinashouldcertainlybenefit________relationshipbetweenth
Whatexactlyisalie?Isitanythingwesaywhichweknowisuntrue?Orisitsomethingmorethanthat?Forexample,supposea
Theexhibit"LifeinShadows-.HiddenChildrenandtheHolocaust"usedtobeondisplayintheearly2000sattheUnitedStates
Thisplace,originallyasmalltown,hasbeen______intoamoderncity.
Ifaandbareoddintegers,whichofthefollowingisaneveninteger?
随机试题
关于分娩的先兆症状,下列哪项是错误的
26岁孕妇,第一胎,停经38周,孕期经过顺利,近一周突觉头昏、眼花、视物模糊。
特大安全事故发生后,有关地方人民政府及政府有关部门隐瞒不报、谎报或者拖延报告的,对政府主要领导人和政府部门正职负责人给予()的行政处分。
1988—1994年我国实行的包干财政体制,其形式有()。
D公司适用的所得税税率为25%,2018年度财务报告于2019年3月10日批准报出。2019年2月5日,法院判决D公司应赔偿乙公司专利侵权损失500万元,D公司不服决定上诉,经向律师咨询,认为法院很可能维持原判。乙公司是在2018年10月6日向法院提起诉讼
某纳税人依法提出税务行政复议申请,根据税务行政复议法律制度的规定,下列说法正确的有()
号称“天下第一陵”的是()。
我国战国时代哲学家荀子说:“天行有常,不为尧存,不为桀亡。”荀子的这句话说明了
Itiseasiertonegotiateinitialsalaryrequirementbecauseonceyouareinside,theorganizationalconstraintsinfluencewage
(电子表格题)期末考试结束了,初三(14)班的班主任助理王老师需要对本班学生的各科考试成绩进行统计,按照下列要求完成该班的成绩统计工作。在工作表“期末总成绩”中分别用红色(标准色)和加粗格式标出各科第一名成绩。同时将前10名的总分成绩用浅蓝色填充。
最新回复
(
0
)