SE 251 - Exercise (6)
Subject
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Question One:
Compute the area of the figure (ABCDE) A
If : AB = 70 m , BC = 80 m, AE =100 m
CD = 120 m , DE = 60 m
Angle (ABC) is a right angle E
Angle (CDE) = 84o 44/ 30//
B
D
C
Question Two:
Compute the property ground area ABCDEFGA by dividing it into small geometric figures as shown. HB, IC and
ED are offsets from AE, DEF is a straight line and angle EFG is right angle. All dimensions are in meters.
B C
D
15 12
10
A 42 H 30 I 25 E
55
x
G
70 F
Assuming coordinates of point A: (x=50.0m, y=50.0m) with AE as the x-axis, use method of coordinates to
compute the total area.
Question Three:
Using the method of coordinates, compute the area of the land parcel ABCD. Divide the area into two
triangles and re-compute the total area using another method and check your answers
Station X (m) Y (m)
A 150.00 200.00
B 280.00 150.00
C 160.00 90.00
D 40.00 60.00
Prof. Ashraf Farah
Subject Yousef Hakeem 442102778
Q1 Area ofABC 70 80 incas 2503 m
Area of CBE 120 60 44'30
size4 s 292.483m
Area ofACE
AC 70488 2 70 80cosan 127.743m
CE 1204602 2 60 120 644430s 179,867m
5 127,74 174,807 100 203,80s
Area 2038052203,805100203,205127,743 203,205 179.807 6206,465m
AreaofABCDE 2502212,4836204465 4001,948m
QD thereisAreabyusingcoordinates
Area 5065 9262 122xoostcluxciastc.lu xclossC7oxsos 15097 1651225 112147 commas
cciosx761ccmxs.rs 6423m sin 17 3 148269.32 ai 4034'50.68
Areausing math methodes AEG 10217sin 40269,32 2 3598m
AreaofEFC isessyos.name DEIC 2540125 2 275m
GE 74si axzoxsocosca.s
i.am CIHB 3 cat ia
2 x F
the
3ao s
totalArea1925354212757
BHA 1542sina.si 244m
294 6422m
a Areabymethod ofcoordinates
Area 150150 22090 Cloxas 40200 2002805 150100 40405 60150 2
22450m
AreabyAnothermethod A SCSABS S DOCS AC 2844,6dam
AB FÉ 120m So CCD DAtACSK 156022m
BC EE 103,923m
Az SCS CDCs DAKS Ac 4524name
CD FE Gleam A A 13364,303m
Ac FEE 110,453m
DA 5 8 26,602
S CAB BCAcSI2 167.122m
