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Area & Volumetric Determination. A Point. A Point. No length, no width, no depth.. No Dimensions. A Line. A Line. It has one dimension: length. A rectangle, or plane. A rectangle, or plane. This geometric figure has two dimensions: length and heigth. It is, therefore, two dimensional.
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A Point No length, no width, no depth.. No Dimensions
A Line It has one dimension: length
A rectangle, or plane This geometric figure has two dimensions: length and heigth. It is, therefore, two dimensional.
A rectangle, or plane The area of any four sided figure having four 90 degree angles can be determined by…
A rectangle, or plane The area of any four sided figure having four 90 degree angles can be determined by… A=LxW
Try these three – 4’ 94’ III I 42’ 12’ 16’ II 29’
Try these three – 4’ 94’ III I 42’ 12’ 16’ 3,948 ft2 II 29’ 48 ft2 464 ft2
The area of virtually any geometric figure can be determined by breaking the figure up into triangles.
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
If you had a field that looked like this, and needed to know how many acres were in it….
Leaving you with six fairly simple calculations that you would add together…
The area of a simple right triangle can be determined by using the formula…
L x H A= 2 The area of a simple right triangle can be determined by using the formula…
L x H A= 2 16’ 12’
L x H 12 x 16 A= A= 2 2 16’ 12’
12 x 16 A= 2 16’ A = 96 ft2 12’
Try these… 41’ II 19’ 10’ I III 121’ 212’ 11’
Try these… 389.5ft2 41’ II 19’ 55ft2 12,826ft2 10’ I III 121’ 212’ 11’
In real agricultural conditions, true right triangles rarely exist. Unless you have sophisticated equipment, such as a surveyor’s transit, your options for determining the area of a field are limited….
In real agricultural conditions, true right triangles rarely exist. Unless you have sophisticated equipment, such as a surveyor’s transit, your options for determining the area of a field are limited. The easiest way is to….
80’ 44’ 61’ Determine the length of the three sides of the field…
80’ 44’ 61’ And use the following formula:
80’ 44’ 61’ s(s-a)(s-b)(s-c) A= a+b+c Where s = 2
80’ 44’ 61’ a, b, and c are the three sides of the triangle
80’ 44’ 61’ a+b+c s = 2 a, b, and c are the three sides of the triangle First, determine ‘s’
80’ 44’ 61’ 44+80+61 s = 2 a, b, and c are the three sides of the triangle First, determine ‘s’
80’ 44’ 61’ 44+80+61 185 s = s = 2 2 a, b, and c are the three sides of the triangle First, determine ‘s’
80’ 44’ 61’ s = a, b, and c are the three sides of the triangle First, determine ‘s’ 92.5
Now that you have all the numbers you need, plug them into the formula, like so:
92.5(92.5-44)(92.5-80)(92.5-61) A= Now that you have all the numbers you need, plug them into the formula, like so:
92.5(92.5-44)(92.5-80)(92.5-61) A= Then, following standard order of operations, do the math!
92.5(92.5-44)(92.5-80)(92.5-61) 92.5(48.5)(12.5)(31.5) A= A=
92.5(92.5-44)(92.5-80)(92.5-61) 92.5(48.5)(12.5)(31.5) 1,766,460.9 A= A= A=
92.5(92.5-44)(92.5-80)(92.5-61) 92.5(48.5)(12.5)(31.5) 1,766,460.9 A= A= A= A= 1329.08 ft2
