The ratio between the base and height of traingular fueld Is 3:2.The cost of cultivating the field at rs65 per sq. m is rs3,12,000.Find the base and the height.
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Let the base and height be 3x and 2x respectively
Cost per m² = 65
Total cost = 3,12,000
Area = 3,12,000/65 = 4800 m²
Area of a triangle = 1/2 bh
4800 = 1/2 bh
bh = 2 × 4800
(3x)(2x) = 9600
6x² = 9600
x² = 9600/6
x = √1600
x = 40 m
Base = 3x = 3×40 = 120 m
Height = 2x = 2×40 = 80 m
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