BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Perimeter of each square

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
Legendary Member
Posts: 541
Joined: Thu May 31, 2007 6:44 pm
Location: UK
Thanked: 21 times
Followed by:3 members
GMAT Score:680

by rohangupta83 » Fri Oct 24, 2008 5:46 am
imo B

12 each

let the larger side of the rectangle = x
smaller side = y

therefore, 2x + 2y = 18*sqrt2
or x+y = 9 sqrt2............................................eq1

diagonals of a square are equal

therefore, x = 2y...........................................eq2

plugging in eq 1

2y+y = 9 sqrt2
3y = 9 sqrt2
y = 3 sqrt2

y is the diagonal of a square, therefore the side of the square is y/sqrt2

or side of square = 3 sqrt2/sqrt2

or side of square = 3

Hence, perimeter of the square = 4(side of square)

4*3 = 12
Top
User avatar
Legendary Member
Posts: 871
Joined: Wed Aug 13, 2008 7:48 am
Thanked: 48 times

by stop@800 » Fri Oct 24, 2008 7:24 am
Whats the OA?
I am also getting 12
Top
Legendary Member
Posts: 1159
Joined: Wed Apr 16, 2008 10:35 pm
Thanked: 56 times

by raunekk » Fri Oct 24, 2008 9:31 am
imo: 12
Top
Post new topic Post Reply
• Page 1 of 1