Math, asked by shobhakaranwal, 1 year ago

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

Answered by kartik2507
4

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

 {x}^{2}  = 16 \\ x =  \sqrt{16}  \\ x = 4

height of triangular Field = x × 100= 400 m

base of triangular Field = 2x × 100= 2 × 4 × 100 = 800 m

hope you get your answer

Answered by BRAINLYBOOSTER12
7

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

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