GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Oct 2019, 11:10

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# The shape of a flower bed is a combination of semicircle and

Author Message
TAGS:

### Hide Tags

Manager
Joined: 17 Jun 2015
Posts: 196
GMAT 1: 540 Q39 V26
GMAT 2: 680 Q46 V37
Re: The shape of a flower bed is a combination of semicircle and  [#permalink]

### Show Tags

19 Dec 2015, 20:59
The perimeter of the rectangle is 28. But that does not clarfy the sides. IT could be 14 and 2 or 7 and 4. Statement 1 is insufficient

Length of diagonal is 10. L^2 + B^2 = 100
(A + B)^2 = A^2 + 2.A.B + B^2

Using this formula, we can deduce a length value that suffices the L>B requirement as well

Both together are sufficient
_________________
Fais de ta vie un rêve et d'un rêve une réalité
Current Student
Status: DONE!
Joined: 05 Sep 2016
Posts: 358
Re: The shape of a flower bed is a combination of semicircle and  [#permalink]

### Show Tags

20 Sep 2016, 08:39
C is the correct answer. Here's why:

(1) 2l + 2w = 28 --> INSUFFICIENT - we don't know the value of w or l; there are multiple combinations of l and w that could satisfy this equation if we were to guess

(2) w^2 + l^2 = 10^2 --> INSUFFICIENT - we don't know anything about the triangle itself or sides l and w

A,B,D eliminated...

Together - (1) + (2) - SUFFICIENT - We can combine (1) and (2) to isolate the value of l or w first and then solve for the remaining side.
Intern
Joined: 23 Jun 2016
Posts: 41
Re: The shape of a flower bed is a combination of semicircle and  [#permalink]

### Show Tags

20 Sep 2016, 15:18
For DS problems and Geometry I always try to see if I can draw different shapes with the info given. If you can then it is insufficient. Statement two you can draw different shaped rectangles with diagonals 10. The degree of angles at which the diagonals will intersect will change the shape of the rectangle. So statement two is insufficient.

C is correct because now you have 2 different equations with 2 variables
Length = L and Width = W
Equation 1: 2L * 2W= 28
Equation 2: L^2 + W^2 = 100

And because the problem tells us which side is longer we can infer that the larger is the diameter of the semi-circle.
Manager
Joined: 03 Sep 2018
Posts: 171
Re: The shape of a flower bed is a combination of semicircle and  [#permalink]

### Show Tags

24 Oct 2018, 15:20
1) 2l+2w=28

2) l^2+w^2=10^2

1)&2) (l+w)^2=l^2+w^2+2lw

196=100+2lw
96=2lw
48=lw

l= diameter
l=8, w=6 –> r=4

1/2*pi*r^2+2(l+w)=p

1/2*pi*16+2(6+8)=36pi
_________________
Manager
Joined: 06 Jun 2013
Posts: 149
Location: India
Concentration: Finance, Economics
Schools: Tuck
GMAT 1: 640 Q49 V30
GPA: 3.6
WE: Engineering (Computer Software)
Re: The shape of a flower bed is a combination of semicircle and  [#permalink]

### Show Tags

20 May 2019, 22:36
will the answer b option B, if sides were integer values. as we can assume sides as 8 and 6 from the diagonal and in the question stem it is given that one side is longer than the other side.
Manager
Joined: 15 Aug 2017
Posts: 76
Location: India
Schools: HBS '22
Re: The shape of a flower bed is a combination of semicircle and  [#permalink]

### Show Tags

18 Jul 2019, 01:53
banerjeea_98 wrote:
It is indeed "C". Using Joe's last combined eqn (L â€“ 8) (L â€“ 6) = 0
meaning QR is either 8 or 6. But we know that QR > RS...so if QR is 8 than we can find that RS is 6 which satisfies QR > RS...if QR is 6 than RS is 8 which doesn't satify QR > RS.....meaning QR has to be 8...Suff

From B if we know the diagonal is 10 cant we assume the sides to be 4 and 6 and doesn't that solve the question? Where did I go wrong?
_________________
"You don't want to to look back and know you could've done better".
Intern
Joined: 02 May 2019
Posts: 4
Re: The shape of a flower bed is a combination of semicircle and  [#permalink]

### Show Tags

15 Aug 2019, 22:01
Re: The shape of a flower bed is a combination of semicircle and   [#permalink] 15 Aug 2019, 22:01

Go to page   Previous    1   2   [ 27 posts ]

Display posts from previous: Sort by