Measurements Of Polygons And Circles Worksheets - Lance Mangham, 6th Grade Math, Carroll Isd Page 40
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40Using your results of the possible areas that can be enclosed by 28 meters of fence, answer the following
questions.
11. What is the smallest land area that can be submitted?
What seems to be true of the shape of the land with smaller
12.
areas?
Is there an even smaller land area that fits the Queen’s
13.
request?
14. What is the largest land that can be submitted?
What seems to be true about the shape of the land with larger
15.
areas?
16. Is there an even larger area that fits the Queen’s request?
17. What conclusions can be drawn from the above answers?
After Peasant Mangham managed to successfully escape being imprisoned by the Queen, he decided to
issue his own challenge:
“Your majesty, if this is really the kingdom of Squareless, who do you insist that all of the parcels of
land be squares or rectangles? If I simply give you 28 meters of fencing and no restrictions, what would
be the greatest land area you could enclose? I challenge you to break out of your mold!”
If the Queen hires you to tackle this challenge, what will you answer be? Prove it!
18.
th
Created by Lance Mangham, 6
grade math, Carroll ISD
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