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
Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later
Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later
admin
2022-10-18
119
问题
Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later decided to use all of the fencing to enclose a rectangular region with length y meters greater than its width. In square meters, what is the positive difference between the area of the square region and the area of the rectangular region?
(1) xy=256
(2) y = 4
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
B
解析
The square’s perimeter is x meters, and thus the square has adjacent sides of length x/4 meters each. Since the rectangle’s perimeter is also x meters, with adjacent side lengths that differ by y meters, it follows that the rectangle’s length is (x/4+y/2) meters (i.e., lengthen two opposite sides of the square by y/2 meters) and the rectangle’s (x/4+y/2) meters (i.e., shorten the two other opposite sides of the square by y/2 meters).
Alternatively, letting L and W be the length and width, respectively and in meters, of the rectangle, then we can express each of L and Win terms of x and y by algebraically eliminating L and W from the equations 2L + 2W= x and L = W+y.
2L + 2W = x given
2(W+y) + 2W = x substitute
L=W+y
W=x/4+y/2 solve for W
L = x/4 + y/2 use L = W+ y
Therefore, in square meters, the area of the square is (x/4) , the area of the rectangle is(x/4+y/2)(x/4-y/2)=(x/4)
2
-(y/2)
2
, and the positive difference between these two areas is(y/2).
Determine the value of(y/2).
(1) Given xy = 256, it is clearly not possible to determine the value of (y/2)
2
;NOT sufficient.
(2) Given y = 4, the value of (y/2)
2
is equal to 4; SUFFICIENT.
The correct answer is B;
statement 2 alone is sufficient.
转载请注明原文地址:https://kaotiyun.com/show/fttO777K
本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
0
GMAT QUANTITATIVE
GMAT
相关试题推荐
Steve:Francesca,what’syourfavouritepieceofmusic,wouldyousay?Francesca:Ithinkit’s"PieJesu"byAndrewLloyd-We
Todayanyonewillacceptmoneyinexchangeforgoodsandservices.Peopleusemoneytobuyfood,furniture,books,bicyclesand
Birth,marriageanddeath:thesearethegreatesteventsinhumanlife.Manythings,goodandbad,canhappentousinourlives
WhatdowemeanbyaperfectEnglishpronunciation?Inone【C1】______therearemanydifferentkindsofEnglishastherearespeak
—Sir,______?—Yes,sir.Youranthroughthestopsign.MayIseeyourdriverlicense,please?
LastweekIboughtanancientvase,______priceisquitereasonable.
SpeakerA:Wheredidyoucelebrateyourbirthdaylastyear?SpeakerB:______.Ayearagotoday,IwasapassengeronanAirGre
______fromthemoon,theearthwithwater______seventypercentofitssurface.
Wholelifeispermanentinsuranceprotectionthatprotectsyouforyourwholelife,fromthedayyoupurchasethepolicyuntily
Ourpreferencesforcertaincolorsare______accordingtothepassage.WhichofthefollowingstatementsisNOTtrueaccording
随机试题
A.寒气蕴蓄B.酒食所伤C.两者均有关D.两者均无关(1993年第119,120题)噎膈的病因病机有()
女人型骨盆的形态为扁平骨盆的形态为
下列有关产后恶露,错误的是
下列项目在资产负债表中只需要根据某1个总分类账账户就能填列的项目是( )。
假如出口商要在一个月以后才能收到货款,在未收到货款之前其所面临的汇率风险属于交易风险;收到外汇后其所面临的风险属于经营风险。()
保证公司债券是以公司的不动产(如房屋、土地等)作抵押而发行的债券,是抵押证券的一种。( )
下列属于企业物流作业目标的是()。
某班50名同学为灾区人民捐款,平均每个女同学捐款8元,每个男同学捐款5元,已知全班女同学比男同学多捐101元,求这个班男同学多少人?
邓小平明确提出“建设有中国特色社会主义”的理论是在()
People’sfinancialhistoryhasastrongimpactontheirtasteforrisk.LookingatsurveysofAmericanhousehold【C1】______from1
最新回复
(
0
)