Question

help plz. cant solve​

Answer 1

$\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}$

Step-by-step explanation:

Let us take height be x.

Then, it's base = 3x.

$\red{\boxed{Area= \dfrac{1}{2}×base × height}}$

=$\dfrac{1}{2} × x × 3x = \dfrac{3x^{2}}{2}$

Cost of cultivating the field = ₹49572.

Rate of cultivating=₹36.72/100m^2

So, $\large\green{\boxed{Area = \dfrac{Cost}{Rate}}}$

= $\dfrac{49572×100}{36.72}$

= 135000m^2

But, it is found $\dfrac{3x^{2}}{2}$.

Atq, 3x^2/2=135000m^2

=> $x^{2} =135000×\dfrac{2}{3}$

=> $x^{2 }= 90000m^{2}$

=> $x =\sqrt90000m^{2} =\sqrt300×300$

Therefore x = 300m.

$\large\purple{\boxed{Base = 3x =300×3m =900m}}$

$\large\purple{\boxed{Height = x =300m}}$

Answer 2

Answer: 300 m and 900 m respectively.

Step by step explanation:

Let the base of triangular field be 'b' and the height be 'h'.

We're given that, b = 3×h

Rate of cultivating= Rs. 36.72 per 100 m²

.°. Rate of cultivating the field per m² = 36.72/100 = 0.3672 m²

Total cost= Rs. 49,572

Area of the field = Total cost required / Rate of cultivating

= 49,572 / 0.3672

= 1,35,000 m²

Thus,

Area of the triangular field = 1,35,000 m²

.°. 1/2 × h × b = 1,35,000

1/2 × h × 3h = 1,35,000

1/2 × 3h² = 1,35,000

3h² / 2 = 1,35,000

3h² = 2,70,000

h² = 90000

h = 300

Hence, we got the height i.e 300 m.

We know that, b = 3h

b = 3 × 300 = 900 m.

Thus, Base = 900 m

Final answer:

Height and the base of triangular field is 300 m and 900 m respectively.