The base of a triangular field is three times its altitude. If the cost of cultivating the field at ₹240 per hectare is ₹3240, find its base and height.
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Verified answer
★ Given :-
★ To find :-
★ Solution :-
Rs 240 is required for 1 hectare cultivation
Then, Rs 3240 is needed for the cultivation of,
Now, 1 hectare = 10000 m^2
then, 13.5 hectares = 13.5 × 10000 = 135000 m^2
So we get the area of the triangle field.
The formula of area of triangle is,
where,
As per given question,
The base of a triangular field is three times its altitude.
Let the Altitude be x m, so base = 3x m
According to the formula,
The height = 300 metre
The base = 300 × 3 = 900 metre