The height of a triangular field is twice its base. If the cost of cultivating the field at Ruppee400 per hectare is Ruppee 6400. Find its base and height, [1 hectare = 10000 m']. please tell tomorrow is my exam
Answers
Answer:
base = 800m
height = 400m
Step-by-step explanation:
let the height of triangular Field be x
base of field = 2x
area of triangular Field = 1/2 × 2x × x = x^2
cost of cultivation per hectare = 400
total cost of cultivation = 6400
hectare cultivated
= 6400/400
= 16 hectare
height of triangular Field = x × 100= 400 m
base of triangular Field = 2x × 100= 2 × 4 × 100 = 800 m
hope you get your answer
Given, Base = 800 m ; Height = 400m
Let the height of triangular Field be x
Base of field = 2x
So, area of triangular Field = 1/2 × 2x × x = x²
Cost of cultivation per hectare = ₹ 400
Total cost of cultivation = ₹ 6400
Hectare cultivated = 6400/400 = 16 hectare
Now, x² = 16
=> x = √16
=> x = 4
Height of triangular Field = x × 100= 400 m
Base of triangular Field = 2x × 100= 2 × 4 × 100 = 800 m