The ratio of base to height of a triangular field is 3 : 1. If the cost of cultivating the field at
rupees 28 per sq. m is rupees 9450, find its base and height.
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Step-by-step explanation:
Let the height be x
So the base will be 3x
Rs28 = 1m²
Rs9450 = 9450/28 = 337.5m²
The area of triangular field is 337.5m²
Area of triangle = 1/2×base×height
337.5 = 1/2×3x×x
337.5 = 3x²/2
225 = x²
+-√225 = x
x = +- 15
As base and height cannot be negative we will reject -15
Base = 3x = 3×15 = 45m
Height = 15m
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