Area

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Area Volumetric Determination

• BY
• MR. GERBITZ
• DEC. 16, 2007

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A Point
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A Point
No length, no width, no depth.. No Dimensions
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A Line
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A Line
It has one dimension length
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A rectangle, or plane
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A rectangle, or plane
This geometric figure has two dimensions length
and heigth. It is, therefore, two dimensional.
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A rectangle, or plane
The area of any four sided figure having four 90
degree angles can be determined by
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A rectangle, or plane
The area of any four sided figure having four 90
degree angles can be determined by
ALxW
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Try these three
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94
III
I
42
12
16
II
29
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Try these three
4
94
III
I
42
12
16
3,948 ft2
II
29
48 ft2
464 ft2
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The area of virtually any geometric figure can be
determined by breaking the figure up into
triangles.
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The area of virtually any geometric figure can be
determined by breaking the figure up into
triangles.
For instance, take the figure in the middle
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If you had a field that looked like this, and
needed to know how many acres were in it.
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And all you had to use was a simple measuring
tape
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You could break the field up into triangles like
this
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Leaving you with six fairly simple calculations
that you would add together
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The area of a simple right triangle can be
determined by using the formula
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The area of a simple right triangle can be
determined by using the formula
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16
12
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16
12
29
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A 96 ft2
12
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Try these
41
II
19
10
I
III
121
212
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Try these
389.5ft2
41
II
19
55ft2
12,826ft2
10
I
III
121
212
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In 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.
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In 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.
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Determine the length of the three sides of the
field
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80
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Determine the length of the three sides of the
field
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80
44
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And use the following formula
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a, b, and c are the three sides of the triangle
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a, b, and c are the three sides of the triangle
First, determine s
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a, b, and c are the three sides of the triangle
First, determine s
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a, b, and c are the three sides of the triangle
First, determine s
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a, b, and c are the three sides of the triangle
First, determine s
92.5
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Now that you have all the numbers you need, plug
them into the formula, like so
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Now that you have all the numbers you need, plug
them into the formula, like so
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Then, following standard order of operations, do
the math!
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A
1329.08 ft2