GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 18 Feb 2020, 22:18 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Find the area of the rectangle ABCD, if the length and breadth are odd

Author Message
TAGS:

### Hide Tags

Senior Manager  D
Joined: 05 Jul 2018
Posts: 462
Location: India
Concentration: General Management, Technology
GMAT 1: 600 Q47 V26 GRE 1: Q162 V149 GPA: 3.6
WE: Information Technology (Consulting)
Find the area of the rectangle ABCD, if the length and breadth are odd  [#permalink]

### Show Tags

2 00:00

Difficulty:   45% (medium)

Question Stats: 68% (02:02) correct 32% (02:09) wrong based on 41 sessions

### HideShow timer Statistics

Find the area of the rectangle ABCD, if the length and breadth are odd positive integers.

(1) The perimeter of rectangle ABCD = 28 cm

(2) The area of the square whose side length is equal to the length of the rectangle, is 80% greater than the area of the rectangle.
Math Expert V
Joined: 02 Aug 2009
Posts: 8261
Re: Find the area of the rectangle ABCD, if the length and breadth are odd  [#permalink]

### Show Tags

Find the area of the rectangle ABCD, if the length and breadth are odd positive integers.

(1) The perimeter of rectangle ABCD = 28 cm
l and b can be 7 and 7 or 9 and 5 or 11 and 3 and so on

(2) The area of the square whose side length is equal to the length of the rectangle, is 80% greater than the area of the rectangle.
So $$l^2=1.8(l*b)...l=1.8b$$. No values

Combined..
l is integer, so 1.8b has to be an integer, so B has to be a multiple of 5..
l can be 1.8*5=9 or 1.8*10=18..
Only 9 is possible, so l*b=5*9=45

C
_________________
GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5931
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Find the area of the rectangle ABCD, if the length and breadth are odd  [#permalink]

### Show Tags

themindful wrote:
Find the area of the rectangle ABCD, if the length and breadth are odd positive integers.

(1) The perimeter of rectangle ABCD = 28 cm

(2) The area of the square whose side length is equal to the length of the rectangle, is 80% greater than the area of the rectangle.

#1
2*(l+b)=28
l+b=14
l,b= 11,3; or 13,1
insufficient
#2
area of square = l^2 = 1.8*(l*b)
or say ; l = 1.8b ; since value are integers so we can say l=2b
insufficient
from 1 & 2
3b=14
b= 14/3 ; 4.6 ~ 5
so l = 14-5 ; 9
sufficient ; IMO C l = 9 & b= 5 Re: Find the area of the rectangle ABCD, if the length and breadth are odd   [#permalink] 14 Apr 2019, 08:20
Display posts from previous: Sort by

# Find the area of the rectangle ABCD, if the length and breadth are odd  