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, the shaded region represents the front of an upright wooden frame around the entrance to an amusement park
In the figure above, the shaded region represents the front of an upright wooden frame around the entrance to an amusement park
admin
2022-10-18
62
问题
In the figure above, the shaded region represents the front of an upright wooden frame around the entrance to an amusement park ride. If RS =
meters, what is the area of the front of the frame?
(1) x = 9 meters
(2) ST =
meters
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
D
解析
The front of the frame is in the shape of an equilateral triangle with sides of length x with an opening in the shape of an equilateral triangle with sides of length y, where y < x. The area of the front of the frame is the area of the larger triangle minus the area of the smaller triangle.
Note that the height of an equilateral triangle with sides of length s is given by
and the area is given by
both of which are easily derived using the ratios for the sides of a 30°-60°-90° triangle.
(1) Given that x = 9, it follows that RT, the height of the large equilateral triangle, is
and RT=RS+ST, it follows that ST=
where ST is the height of the small equilateral triangle. Therefore, y = 4. With the side lengths of both triangles known, the area of the front of the frame can be determined; SUFFICIENT.
(2) Given that ST=
it follows that y = 4.
Also, since RT=RS+ ST and RS =
it follows that RT=
and x = 9. With the side lengths of both triangles known, the area of the front of the frame can be determined; SUFFICIENT.
The correct answer is D;
each statement alone is sufficient.
转载请注明原文地址:https://kaotiyun.com/show/CttO777K
本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
0
GMAT QUANTITATIVE
GMAT
相关试题推荐
Liz:Geez!Yourroomislikeanice-box!Terri:【D1】______It’sjustcomfortable.Liz:Yeah,ifyou’reapenguin.Justlookatm
Steve:Francesca,what’syourfavouritepieceofmusic,wouldyousay?Francesca:Ithinkit’s"PieJesu"byAndrewLloyd-We
SpeakerA:Hello,Iwanttobuysomeclothesformygirlfriendforherbirthdaypresent.SpeakerB:Noproblem,sir.【D8】______
WhatdowemeanbyaperfectEnglishpronunciation?Inone【C1】______therearemanydifferentkindsofEnglishastherearespeak
WhatdowemeanbyaperfectEnglishpronunciation?Inone【C1】______therearemanydifferentkindsofEnglishastherearespeak
Whensheheardthebadnews,she______completely.
WeallknowthatDNAhastheabilitytoidentifyindividualsbut,becauseitisinherited,therearealsoregionsoftheDNAstr
Thankstothemeansofmoderntransportationandcommunication,theworldisgettingsmaller.Thewholeworldcommunityappears
Whatexactlyisalie?Isitanythingwesaywhichweknowisuntrue?Orisitsomethingmorethanthat?Forexample,supposea
Ifisexpressedasaterminatingdecimal,howmanynonzerodigitswillthedecimalhave?
随机试题
在管理中,决策是()
新生儿Apgar评分的五项依据是下列何项
下列哪项不是导致骨折延迟愈合或不愈合的因素
符合胃癌的胃蛋白酶原检查结果是
腹中结块柔软,时聚时散,攻窜胀痛,脘胁胀闷不适,苔薄,脉弦。治疗方法宜首选
政治权利和自由是公民依法享有的参加国家政治生活的权利和自由。关于政治权利和自由,下列说法中不正确的是哪一项?
江南制造总局是清朝洋务运动中成立的近代军事工业生产机构,同时也是近代中国最大的军火工厂。下列历史人物中,筹建该机构的是()。
把用高级程序设计语言编写的源程序翻译成目标程序(.OBJ)的程序称为()。
Completethesentencesbelow.WriteNOMORETHANTHREEWORDSforeachanswer.
HeinzHi-ProteinNutritiousCereal,thequalityproduct,ismadetothestandardsoftheH.J.HeinzCompany,oneoftheleading
最新回复
(
0
)