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Question
How to find area of an amoeba like figure ?
One way is to use a square grid to place over the region, then count the number of
)
squares contained within and estimate the partial squares that are also contained
within the region.
For example, see the attached image.
We can clearly see 38 unit squares (assuming each square is 1x1),
and I estimated the area of all the partial squares to sum to about
be between 2.5 and 3...thus, the area is between 40.5 and 41 (approximately).
I hope this helps.
Abe
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Calculus
Answers by Expert:
Abe Mantell
Expertise
Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!
Experience
Over 15 years teaching at the college level.
Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.
Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook
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