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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Comments
I hate math!!
Me too!
Mr. Basketball - I'm trying to help my 4th grader do this problem, so I want to work him through the answer. What's the secret to figuring this out, short of all out algebra (this problem was handed out to his entire class as a brain teaser!) THANKS
first of all i cant believe 4th graders can do this and i cant! and could you show how you get the answer.
I can't believe that 4th graders could solve this problem, however applying junior highschool algebra and geometry, this problem is of intermediate difficulty.
However, I am programmer, so problem solving is my forte...
However, I am programmer, so problem solving is my forte...
Mar 11, 2005
Shindle: y>2 + 2y>2 + 1.5y>2 + 3y>2 = (40) x (4, Gives you 7.5y>2 = 1920. Solve for y, gives y = sq root(1920/7.5) feet = 16ft, where y = length of side of Bryce's square plot. A sketch of the 40x48 plot helps determine other plot dimensions intuitively.
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