Question

The cost of turfing a triangular field at the rate of $Rs45$ per 100$m^2$ is $Rs.900$. If double the base of the triangle is $5$ times the height , then the height is :

• A. 50 m
• B. 45 m
• C. 60 m
• D. 40 m

Answer 1

Answer: (D)

40 m

Area of the triangular field

$=\frac{100}{45}\times 900m^2$

$=2000m^2$

Let base of the triangular field be $x$ and height of the field be $y$

Given, $2x=5y$

$\therefore x=\frac{5y}{2}$

Now,

Area of the triangular field $=\frac{1}{2}\times$ base $\times$ height

$⟹2000=\frac{1}{2}\times x\times y$

$⟹4000=\frac{5y}{2}\times y$

$⟹y^2=1600$

$⟹y=40m$