## Welcome to BrainDen.com - Brain Teasers Forum

 Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account. As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends. Of course, you can also enjoy our collection of amazing optical illusions and cool math games. If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top. If you have a website, we would appreciate a little link to BrainDen. Thanks and enjoy the Den :-)
Guest Message by DevFuse

4 replies to this topic

### #1 Jkyle1980

Jkyle1980

• Members
• 157 posts

Posted 28 January 2008 - 06:20 AM

Bryce, Duane, Julianna, and Sonya share a 40 feet by 48 feet rectangular portion of the community garden in their neighborhood. Within this space, each has their own rectangular garden plot.

Bryce is the only one with a square plot. Its area is 1/2 the area of Duane’s.
The area of Bryce’s plot is 2/3 the area of Julianna’s garden. Their plots have one side in common.
Sonya’s garden has an area twice that of Julianna’s garden.
• 0

### #2 schmod54

schmod54

Junior Member

• Members
• 22 posts

Posted 28 January 2008 - 10:40 AM

Spoiler for Community Garden

• 0

### #3 brhan

brhan

• Members
• 466 posts

Posted 28 January 2008 - 10:44 AM

Community garden:

• 0

### #4 grottylittlewanker

grottylittlewanker

Junior Member

• Members
• 21 posts

Posted 29 January 2008 - 09:40 AM

Used matrices to find the relationship of each plot to each other, added them together with the least term, set it equal to 40x48, solved for the area of each platt, from there I too the square root of Bryce's area to find the sides, then it was easy from there. I got the same answer as posted above.

The puzzle should probably distinguish that by "Their plots have one side in common." they mean the common side is the same length for each of them, it is possible it could have meant that they are merely next to each other and not necessarily that it is 16 for each.
• 0

### #5 bonanova

bonanova

bonanova

• Moderator
• 6123 posts
• Gender:Male
• Location:New York

Posted 29 January 2008 - 09:45 AM

Spoiler for Two solutions

• 0

Vidi vici veni.

#### 0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users