the base of a triangular field is twice its altitude is the cost of cultivating the field is rupees 14.50 100 m square is rs 52200 find its base and altitude
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Answered by
17
Let the altitude be x
Then the base = 2x2x
Area of the triangular field= 1212bh = 12×2x×x=x212×2x×x=x2 ---(1)
cost of ploughing the field = Rs.18360
Rate = Rs.216 per hectare
=>Area of the triangular field = 18360216=8518360216=85 hectare = 8,50,000 sq.m ---(2)
From(1) and (2)
x2=8,50,000x2=8,50,000
=>x=921.95x=921.95 meter
height = x=921.95x=921.95 meter
base = 2x=1843.92x=1843.9 meter
Then the base = 2x2x
Area of the triangular field= 1212bh = 12×2x×x=x212×2x×x=x2 ---(1)
cost of ploughing the field = Rs.18360
Rate = Rs.216 per hectare
=>Area of the triangular field = 18360216=8518360216=85 hectare = 8,50,000 sq.m ---(2)
From(1) and (2)
x2=8,50,000x2=8,50,000
=>x=921.95x=921.95 meter
height = x=921.95x=921.95 meter
base = 2x=1843.92x=1843.9 meter
Answered by
17
Answer:
Step-by-step explanation:
Base of triangular field=52200÷14.50=3600
3600÷100=36
Let altitude be 2x
1/2×2x×x=x^2
=36×x/3=12
=12/2=6
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