Area and Perimeter of Rectangle

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 184
Joined: Tue Sep 07, 2010 9:43 am
Thanked: 6 times
Followed by:1 members

Area and Perimeter of Rectangle

by rahulvsd » Fri Nov 11, 2011 8:07 am
Is the value of the perimeter of rectangle R greater than the value of its area?

(1) The width of rectangle R is 2 inches.

(2) The area of rectangle R is 200 square inches.

[spoiler]OA: A[/spoiler]
Source: — Data Sufficiency |

User avatar
Legendary Member
Posts: 1239
Joined: Tue Apr 26, 2011 6:25 am
Thanked: 233 times
Followed by:26 members
GMAT Score:680

by sam2304 » Fri Nov 11, 2011 8:45 am
A. width = 2 inches

So perimeter = 2(l + 2) = 2l+4
Area = l*w = l*2 = 2l

B. INSUFF as both are possible

1.L 20 W 10 Perimeter = 60, area = 200
L 2 W 100, perimeter = 204, area = 200

Hope it helps. First thought on A would be no way we can determine with width alone. Always try to apply it in formulas. Don't be reluctant and don't calculate in mind. I have missed lot of problems in DS practicing that way :)
Getting defeated is just a temporary notion, giving it up is what makes it permanent.
https://gmatandbeyond.blogspot.in/

Legendary Member
Posts: 608
Joined: Sun Jun 19, 2011 11:16 am
Thanked: 37 times
Followed by:8 members

by saketk » Fri Nov 11, 2011 11:09 am
This is a great example of how GMAT can set the trap. :)

Senior | Next Rank: 100 Posts
Posts: 87
Joined: Sun Jul 24, 2011 10:36 am

by [email protected] » Fri Nov 11, 2011 8:40 pm
I think the answer is aaaaaaa

the question is asking is 2(L+B) > LB or is 2L+2B > LB

from option a if width =B=2 than 2L + 2 * 2 > 2l
thus solving this we get 2>0. Hence perimeter is greater than area

from B nothing help

User avatar
Legendary Member
Posts: 1101
Joined: Fri Jan 28, 2011 7:26 am
Thanked: 47 times
Followed by:13 members
GMAT Score:640

by HSPA » Fri Nov 11, 2011 10:31 pm
I thank the poster for helping me in laying the right path towards my GMAT.
First take: 640 (50M, 27V) - RC needs 300% improvement
Second take: coming soon..
Regards,
HSPA.