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.

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Guest Message by DevFuse

Started by Jkyle1980, Jan 28 2008 06:20 AM

4 replies to this topic

### #1

Posted 28 January 2008 - 06:20 AM

### #2

Posted 28 January 2008 - 10:40 AM

Spoiler for Community Garden

### #4

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.

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.

### #5

Posted 29 January 2008 - 09:45 AM

Spoiler for Two solutions

*Vidi vici veni.*

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