the base of a rectangular field field is 3 times its height if the cost of cultivating the field at 36 per hectare is your face 486 find its base and height
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1
Area of triangular field = 1/2 × base × height
= 1/2 × 3x × x m^2
= 3x^2/ 2 × 10000 hect.
According to question,
3x^2 / 2× 1000 × 96 = 3600
x^2 = 3600×2×10000 / 3 × 96 = 250000
x = 500m
Therefore, Height of triangular field = 500m
and, Base of triangular field = 3 × 500 = 1500m
= 1/2 × 3x × x m^2
= 3x^2/ 2 × 10000 hect.
According to question,
3x^2 / 2× 1000 × 96 = 3600
x^2 = 3600×2×10000 / 3 × 96 = 250000
x = 500m
Therefore, Height of triangular field = 500m
and, Base of triangular field = 3 × 500 = 1500m
Answered by
1
Answer:
let the length of the base=3x
the length of the height=x
rate=36/10000
cost=486
area of field =486x10000/36
1/2x based x height=135000
3x*x=135000x2
3x^2=270000
x^2=270000/3
x^2=90000
x=√90000
x=300m
height =300m
base=3x300
=900m
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