Area of the word ME = 20 square units
Solution:
Picks' Theorem:

where <em>I </em>is the interior points and <em>B</em> is the points on the boundary.
Let us first find the area of the letter M:
Number of interior points in M = 0
Number of points in the boundary = 22
Using pick's theorem,
Area of M =
Area of M = 10 square units
Now, find the area of the letter E:
Number of interior points in E = 0
Number of points in the boundary = 22
Using pick's theorem,
Area of E =
Area of E = 10 square units
Area of the word ME = Area of M + Area of E
= 10 square units + 10 square units
Area of the word ME = 20 square units
The slope of a perpendicular line is the opposite reciprocal
so the slope, 6, will become -1/6
<span>Note D = r(t)
20min = 1/3 hr and 10min = 1/6 hr
(1/3hr)30mph + (1/6hr)3mph = 10.5 mi, the total distance traveled.
total distance / total time = average speed = 10.5/(1/3 + 1/6) = 10.5/(2/6 + 1/6)
10.5mi/.5hr = 21mph
Hope This Helps
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