From the adjoining diagram measurement of a field, find its area.
Answers
Given :
- AC = 34m
- FD = 18m
- GE = 18m
- DE = 14m
- CD = 14m
- EB = 38m
- CH = 15m
To find :
Area of given figure
Formula used :
- Area of triangle = (1/2)×Base×Height
- Area of rectangle = Length× Breadth
Solution :
Area of figure AFGBHA = Area of ∆AFD + Area of rectangle DEGF + Area of ∆GEB + Area of ∆BCH + Area of ∆ CHA
➝ Area of ∆AFD = (1/2)×AD×FD
AD = AC + CD
AD = 34m + 14m
AD = 48m
➝ Area of ∆AFD = (1/2)×48m×18m
➝ Area of ∆AFD = 432m²
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➝ Area of rectangle DEGF = DE × GE
➝ Area of rectangle DEGF = 14m×18m
➝ Area of rectangle DEGF = 252m²
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➝ Area of ∆GEB = (1/2)×GE×EB
➝ Area of ∆GEB = (1/2)×18m×38m
➝ Area of ∆GEB = 342m²
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➝ Area of ∆BCH = (1/2)×BC×CH
BC = CD + DE + EB
BC = 14m + 14m + 38m
BC = 66m
➝ Area of ∆BCH = (1/2)×66m×15m
➝ Area of ∆BCH = 495m²
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➝ Area of ∆ACH = (1/2)×AC×CH
➝ Area of ∆ACH = (1/2)×34×15
➝ Area of ∆ACH = 255m²
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➝ Area of figure AFGBHA = Area of ∆AFD + Area of rectangle DEGF + Area of ∆GEB + Area of ∆BCH + Area of ∆CHA
➝ Area of figure AFGBHA = 432m² + 252m² + 342m² + 495m² + 255m²
➝ Area of figure AFGBHA = 1776m²
ANSWER :
Area of figure AFGBHA = 1776m²
Answer:
1776m²
Step-by-step explanation:
AC = 34m
FD = 18m
GE = 18m
DE = 14m
CD = 14m
EB = 38m
CH = 15m
To find : Area of given figure
Formula used: Area of triangle = (1/2) BasexHeight
Area of rectangle Length Breadth
Solution :
Area of figure AFGBHA = Area of triangle AFD
+ Area of rectangle DEGF + Area of Delta*GEB
+ Area of ABCH + Area of A CHA
Area of AAFD = (1/2)×AD FD
AD = AC + CD
AD = 34m + 14m
AD = 48m
Area of AAFD = (1/2)x48mx18m
Area of AAFD = 432m²
Area of rectangle DEGF = DE × GE
Area of rectangle DEGF = 14mx18m
Area of rectangle DEGF = = 252m²
Area of AGEB = (1/2)×GEXEB
Area of AGEB = (1/2)x18mx38m
Area of Delta*GEB = 342m ^ 2
Area of ABCH = (1/2)xBC CH
BC = CD + DE + EB
BC = 14m + 14m + 38m BC = 66m
Area of ABCH = (1/2)x66mx15m
Area of Delta*BCH = 495m ^ 2
Area of AACH = (1/2) ACXCH
Area of AACH = (1/2)x34×15
Area of Delta*ACH = 255m ^ 2
Area of figure AFGBHA = Area of
AAFD + Area of rectangle DEGF + Area of AGEB + Area of ABCH + Area of ACHA
Area of figure AFGBHA 432m² + = 252m²+342m² + 495m² + 255m²
Area of figure AFGBHA = 1776m²