- #61
christinono
- 211
- 0
You're right, it's confusing. I think that by "area", they mean the area of the whole garden. In that case, it would be 1081.125 sq. ft.
A couple of questions regarding AREAS (and getting the formulas,etc.)
Click For Summary
SUMMARY
The forum discussion revolves around optimizing the area of a garden enclosed by 80 feet of fencing under various configurations. The participants analyze different scenarios, including a barn on one side and gardens with dividers. Key equations derived include A = w(80 - 2w) for the first scenario and A = w(80 - 3w) for the second, with the vertex formula V = -b/2a applied to find maximum areas. The correct maximum area for the first configuration is confirmed to be 800 square feet, with dimensions of 20 feet by 40 feet.
PREREQUISITES- Understanding of quadratic functions and their properties
- Familiarity with the vertex formula V = -b/2a
- Knowledge of area calculations for rectangular shapes
- Basic algebraic manipulation skills
- Study the application of the quadratic formula in optimization problems
- Learn about completing the square for quadratic equations
- Explore different fencing configurations and their area calculations
- Investigate real-world applications of optimization in garden design
Students, educators, and anyone interested in mathematical optimization, particularly in geometry and algebraic applications related to area maximization.
- #62
dextercioby
Science Advisor
- 13,404
- 4,171
Okay,have it your way.It's not like I've lost something... 
Daniel.
Daniel.
- #63
- #64
dextercioby
Science Advisor
- 13,404
- 4,171
It's not the only way to think of this problem... 
Daniel.
Daniel.
- #65
mathzeroh
- 98
- 0
dextercioby said:It's not the only way to think of this problem...
Daniel.
No argument there. this is math, math is infinite...sometimes.
- #66
christinono
- 211
- 0
I think it's the way the textbook and the teacher want us too.
- #67
dextercioby
Science Advisor
- 13,404
- 4,171
christinono said:I think it's the way the textbook and the teacher want us too.
Did u talk to them...??How would you know what the teacher thinks...?
Did u ask the book...?? Daniel.
- #68
christinono
- 211
- 0
didn't you know, I'm psychic!
No, judging by the complexity of the first 3 problems, I'm assuming that's what they meant.
No, judging by the complexity of the first 3 problems, I'm assuming that's what they meant.
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