High school students used Pick's theorem to determine the area of leaves, which biologists need to do. The formula is A = + I – 1, where b is the number of boundary points and I is the number of 2 interior points in a figure that has been traced on Geoboard Dot Paper.t (a) Use your knowledge of triangles and other shapes to find the area (in square units) of the figure on the left pictured above. square units (b) Calculate the area (in square units) of the figure on the left pictured above using Pick's theorem. square units (c) Determine the area (in square units) of the leaf on the right pictured above using Pick's theorem. (Round your answer to one decimal place.) square units
High school students used Pick's theorem to determine the area of leaves, which biologists need to do. The formula is A = + I – 1, where b is the number of boundary points and I is the number of 2 interior points in a figure that has been traced on Geoboard Dot Paper.t (a) Use your knowledge of triangles and other shapes to find the area (in square units) of the figure on the left pictured above. square units (b) Calculate the area (in square units) of the figure on the left pictured above using Pick's theorem. square units (c) Determine the area (in square units) of the leaf on the right pictured above using Pick's theorem. (Round your answer to one decimal place.) square units
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:High school students used Pick's theorem to determine the area of leaves, which biologists need to do. The formula is A =
+ I – 1, where b is the number of boundary points and I is the number of
2
interior points in a figure that has been traced on Geoboard Dot Paper.t
(a) Use your knowledge of triangles and other shapes to find the area (in square units) of the figure on the left pictured above.
square units
(b) Calculate the area (in square units) of the figure on the left pictured above using Pick's theorem.
square units
(c) Determine the area (in square units) of the leaf on the right pictured above using Pick's theorem. (Round your answer to one decimal place.)
square units
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