Question

The base of a traingular field is twice its altitude , If the cost of levelling the field , at the rate of rupess 10 per m2 is rupees 4,000 , find it base and altitude

Answer 1

Base=40m and

Altitudes=20m

Explanation:

Area of the field can be calculated as

Area= total cost / rate

Where total cost= 4,000 rupees

Rate= 10 per m2

Area of the field= 4000/10

= 400m^2

Let the altitudes be denoted as "x metre"

Then the base = 2x

Area= 1/2bh

Where b= base

h= altitudes

Then if we substitute we have

400m^2= 1/2× x × 2x

400= x^2

x= √400

x=20m

Then altitudes = 20m

the base = 2x= 2×20=40m

Hence, it base and altitude are 40m and 20m respectively.