Question

the base of a triangular field is 5 times it's height. if the cost of cultivating the field at Rs 500 per hectare is 4000. Find base and height

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Answer 1

Let the height of field = x

Then, base = 5x

Cost of per hectare is 500 and total cost = 4000

So , Area of field = $\frac{4000}{500}$

⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀= 8

Area of triangle = $\frac{1}{2} \times b \times h$

⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀= $\frac{1}{2}\times 5x \times x$

$x^{2}$= 8 x $\frac{2}{3}$ = $\frac{16}{3}$

x = under root $\frac{16}{3}$=1.3

so,height = 1.3

⠀⠀base ⠀= 5 x 1.3 = 6.5 Ans.