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

Redeem

Squares and rectangles

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 574
Joined: Sun Jun 01, 2008 8:48 am
Location: Bangalore
Thanked: 28 times

Squares and rectangles

by vishubn » Mon Oct 20, 2008 8:07 pm
The figure above represents a square garden that is divided into 9 rectangular regions with
indicated dimensions in meters. The shaded regions are planted with peas, and the unshaded
regions are planted with tomatoes. If the sum of the areas of the regions planted with peas is
equal to the sum of the areas of the regions planted with tomatoes, what is the value of x?
A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5
Attachments
12.jpg
Top
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 39
Joined: Wed May 14, 2008 11:41 am
Location: CA
Thanked: 2 times

by aditi_bc » Mon Oct 20, 2008 8:41 pm
The entire object is a square so
3+3+3= 3+x+y (say the middle unnamed portion)
Thus y=6-x ------------------(1)

Now Sum of areas of SHADED = Sum of areas of UNSHADED

So, the equation will look like,
3*3+3*3+3y+3x+3x=3*3+3y+3y+3x

Solving the above will yield
y=3+x

Substitute value of 'Y' from equation (1)
6-x=3+x
=> x=3/2=1.5
Top
Post new topic Post Reply
• Page 1 of 1