Question

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.​

Answer 1

ANSWER :

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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