Question

The base of the triangular field is two times its ALtitude if the cost of cultivating the field at rs 250per hectare is rs 1000 find the area of the field

Answer 1

let the base be 2x .unit
altitude = x
1hectare = 10km
Rs 250 is required for 1hectare
Rs 1000 is required for
$\frac{1}{250} \times 1000 = 4$
4 hectares is your answer as per your question!
In case you want to find the base or altitude read the following

So area of triangle is 1/2×base×altitude
$\frac{1}{2} \times 2x \times x = 4 \\ {x}^{2} = 4 \\ x = \sqrt{4} \\ either \: x = + 2 \: or \: x = - 2 \\ since \: value \: of \: length \: cannot \: be \: negative$
Therefore, x=+4
So, altitude= 2hectare
base= 2×2hectare = 4 hectare

Answer 2

Answer:

let the base be 2x .unit

altitude = x

1hectare = 10km

Rs 250 is required for 1hectare

Rs 1000 is required for

\frac{1}{250} \times 1000 = 4

250

1

×1000=4

4 hectares is your answer as per your question!

In case you want to find the base or altitude read the following

So area of triangle is 1/2×base×altitude

\begin{gathered} \frac{1}{2} \times 2x \times x = 4 \\ {x}^{2} = 4 \\ x = \sqrt{4} \\ either \: x = + 2 \: or \: x = - 2 \\ since \: value \: of \: length \: cannot \: be \: negative \\ \end{gathered}

2

1

×2x×x=4

x

2

=4

x=

4

eitherx=+2orx=−2

sincevalueoflengthcannotbenegative

Therefore, x=+4

So, altitude= 2hectare

base= 2×2hectare = 4 hectare