Title: Area
1Area Volumetric Determination
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3A Point
4A Point
No length, no width, no depth.. No Dimensions
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6A Line
7A Line
It has one dimension length
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9A rectangle, or plane
10A rectangle, or plane
This geometric figure has two dimensions length
and heigth. It is, therefore, two dimensional.
11A rectangle, or plane
The area of any four sided figure having four 90
degree angles can be determined by
12A rectangle, or plane
The area of any four sided figure having four 90
degree angles can be determined by
ALxW
13Try these three
4
94
III
I
42
12
16
II
29
14Try these three
4
94
III
I
42
12
16
3,948 ft2
II
29
48 ft2
464 ft2
15The area of virtually any geometric figure can be
determined by breaking the figure up into
triangles.
16The area of virtually any geometric figure can be
determined by breaking the figure up into
triangles.
For instance, take the figure in the middle
17If you had a field that looked like this, and
needed to know how many acres were in it.
18And all you had to use was a simple measuring
tape
19You could break the field up into triangles like
this
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24Leaving you with six fairly simple calculations
that you would add together
25The area of a simple right triangle can be
determined by using the formula
26The area of a simple right triangle can be
determined by using the formula
2716
12
2816
12
2916
A 96 ft2
12
30Try these
41
II
19
10
I
III
121
212
11
31Try these
389.5ft2
41
II
19
55ft2
12,826ft2
10
I
III
121
212
11
32In real agricultural conditions, true right
triangles rarely exist. Unless you have
sophisticated equipment, such as a surveyors
transit, your options for determining the area of
a field are limited.
33In real agricultural conditions, true right
triangles rarely exist. Unless you have
sophisticated equipment, such as a surveyors
transit, your options for determining the area of
a field are limited.
The easiest way is to.
34Determine the length of the three sides of the
field
3580
44
61
Determine the length of the three sides of the
field
3680
44
61
And use the following formula
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38a, b, and c are the three sides of the triangle
39a, b, and c are the three sides of the triangle
First, determine s
40a, b, and c are the three sides of the triangle
First, determine s
41a, b, and c are the three sides of the triangle
First, determine s
42a, b, and c are the three sides of the triangle
First, determine s
92.5
43Now that you have all the numbers you need, plug
them into the formula, like so
44Now that you have all the numbers you need, plug
them into the formula, like so
45Then, following standard order of operations, do
the math!
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49A
1329.08 ft2