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Kamala has a triangular field PQR. She wanted to grow potatoes and onions in it. For that, she divided the field in to two parts by joining the midpoint of the longest side to the opposite vertex as shown in the figure. Find the area used for growing potatoes in hectares ( 1 hectare = 10000 m²) ATE S 600 m
Answers
Answer:
Step-by-step explanation:
You have studied in earlier classes about figures of different shapes such as squares,
rectangles, triangles and quadrilaterals. You have also calculated perimeters and the
are hoe is the is the do fihtobr i iumh how
Answer:
192
Step-by-step explanation:
E is the midpoint of AD, then
AE=ED=200m
Area of wheat field =ar△ABC
Area of potato field =ar△AEC
Area of onion field =ar△EDC
ar△ABC =
S(S−a)(S−b)(S−c)
,S=
2
200+240+360
=400m
=
400(400−200)(400−240)(400−360)
=
400×200×160×40
=16000
2
m
2
=1.6
2
hectare
=1.6×1.414=2.26hectares
In △ACD
△AEC and △CED have same base [arAE=ED=200m]
and they have same height CF
Therefore, ar△AEC=ar△CED=
2
1
ar△ACD
ar△ACD =
S(S−a)(S−b)(S−c)
,S=
2
240+320+400
=480m
=
480(480−240)(480−320)(480−400)
=
480×240×160×80
=38400m
2
=3.84hectares
∴ar△AEC=ar△CED=
2
1
×3.84=1.92hectares
Therefore,
Area of wheat field =2.26hectares
Area of potato field =1.92hectares
Area of onion field =1.92hectares
For potato 100m=100×1.92=192hectares
