Question

the base of a triangular field is 4 times its height. If the cost of cultivating the field at ₹450 per square metre is ₹8100 find its base and height

Answer 1

here is your answer. hope his will work you

Answer 2

hey!!!

according to the question, the base of the triangular field is 4 times it's height.

let the height of the triangular field be x.

therefore base = 4x

given that the cost of cultivating the field at ₹450 per square metre is ₹8100

therefore area of the triangular field = 8100/450

= 18m²

>> 1/2 × b × h = 18m²
>> 1/2 × 4x × x = 18m²
>> 2x² = 18m²
>> x² = 18/2
>> x² = 9
>> x = √9
>> x = 3m

hence, height of the triangular field = x = 3m

base of the triangular field = 4x = 4 × 3 = 12m

cheers!!!