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4,00,000 sq.m
Step-by-step explanation
Breadth of the canal is 30km.
Depth (Height) of the canal is 12km.
The speed of canal is 20 km/h.
Time is 30 min i...e 1/2 hour.
To find the length of the canal, we can use the formula of speed,
S= D/t
D= S X t
= 20 x 1/2
= 10 km
Length of the canal is 10 km.
Since the canal is cuboidal in shape, We can use the formula of volume of cuboid
Volume of the canal= l x b x h
= 10 x 30 x 12
=300 x 12
= 3600 cubic.km
V. of the canal= 9/1000 x area of land irrigated
3600 = 9/1000 x Area
Area= 3600 x 1000/9
= 400 x 1000
= 4,00,000 sq.m
Hence proved.
Hope this answer helps....
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