### Brain Teasers

# Community Garden

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.

What are the dimensions (length and width) of each person's 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.

What are the dimensions (length and width) of each person's garden plot?

### Answer

Bryce's garden is 16 ft by 16 ft (with an area of 256 square feet).Duane's garden is 32 ft by 16 ft (with an area of 512 square feet).

Julianna's garden is 24 ft by 16 ft (with an area of 384 square feet).

Sonya's garden is 24 ft by 32 ft (with an area of 768 square feet).

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