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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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