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ELEMENTARY SURVEYING FIELD MANUAL
FIELD WORK NO. 4 DETERMINING THE AREA OF A POLYGONAL FIELD USING ONLY THE TAPE
CE120-0F / A1
SUBMITTED BY:
NAME: STUDENT NO.: GROUP NO. 4 DATE OF FIELD WORK: AUGUST 7, 2014 DATE OF SUBMITTION: AUGUST 14, 2014 CHIEF OF PARTY:
SUBMITTED TO:
PROFESSOR: ENGR. CERVANTES
GRADE
[2]
FIELD WORK NO. 4 DETERMING THE AREA OF A POLYGONAL FIELD USING ONLY THE TAPE
FINAL DATE SHEET FIELD WORK 4 DETERMINING THE AREA OF A POLYGONAL FIELD
DATE: AUGUST 7, 2014 GROUP NO.: 4 TIME: 8:30AM
–
12:00PM LOCATION: MAPUA CAMPUS WEATHER: SUNNY PROFESSOR: ENGR. CERVANTES
A. 1
ST
METHOD: BY BASE AND ALTITUDE METHOD TRIANGLE BASE ALTITUDE AREA
1 5.2 m 2.2 m 5.72 m
2 5.2 m 4.87 m 12.662 m
3 6.36 m 2.71 m 8.618 m
TOTAL 27 m
2
B. COMPUTATIONS:
A
TRIANGLE1
=
12
bh A
TRIANGLE1
=
12
(5.2 m) (2.2 m) A
TRIANGLE1
= 5.72 m Total Area = A
TRIANGLE1
+ A
TRIANGLE2
+ A
TRIANGLE3
Total Area = (5.72 m
2
) + (12.662 m
2
) + (8.618 m
2
) Total Area = 27 m
C. 2
ND
METHOD: BY TWO SIDES AND THE INCLUDED ANGLE TRIANGLE ANGLE SIDES AREA
θ in
degrees a b 1
98.713° 3.5 m 3.3 m 5.708 m
2
51.572° 5.2 m 6.36 m 12.954 m
3
52.208° 3.5 m 6.36 m 8.795 m
TOTAL
27.457 m
[3]
FIELD WORK NO. 4 DETERMING THE AREA OF A POLYGONAL FIELD USING ONLY THE TAPE
D. COMPUTATIONS:
A
TRIANGLE1
=
12
ab sin θ
A
TRIANGLE1
=
12
(3.5 m) (3.3 m) sin (98.713°) A
TRIANGLE1
= 5.708 m Total Area = A
TRIANGLE1
+ A
TRIANGLE2
+ A
TRIANGLE3
Total Area = (5.708 m
2
) + (12.954 m
2
) + (8.795 m
2
) Total Area = 27.457 m
2
E. 3
RD
METHOD: BY THREE SIDES (HERON’S FORMULA)
TRIANGLE SIDES HALF PARAMETER AREA a b c s 1
3.5 m 5.3 m 3.2 m 6 m 5.62 m
2
5.2 m 4.83 m 6.36 m 8.195 m 12.311 m
3
6.36 m 3.5 m 4.87 m 7.365 m 8.448 m
TOTAL
26.451 m
2
F. COMPUTATIONS:
A
TRIANGLE1
=
s
s
−
a
s
−
b
(s
−
c)
A
TRIANGLE1
=
6
6
−
3.5
6
−
5.3
(6
−
3.2)
A
TRIANGLE1
= 5.62 m
2
Total Area = A
TRIANGLE1
+ A
TRIANGLE2
+ A
TRIANGLE3
Total Area = (5.62 m
2
) + (12.311 m
2
) + (8.448 m
2
) Total Area = 26.451 m
[4]
FIELD WORK NO. 4 DETERMING THE AREA OF A POLYGONAL FIELD USING ONLY THE TAPE
G. SKETCH
Measuring a side of the polygonal field. Drawing a line from a formed triangle for determining the angle included.

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