Question

in a rectangular plot of land 70 m long and 40 m broad a rectangular garden of radius 17.5 m is developed find the cost of turfing the remaining portion at the rate of ₹28.50 per sq meter​

Answer 1

Correct Question -:

In a rectangular plot of land 70m long and 40m broad, a circular garden of radius 17.5m is developed. Find the cost of turfing the remaining portion at the rate of ₹28.50 per sq. metre

Explanation -:

Given :

• Length of the rectangular plot = 70 m
• Breadth of the rectangular plot = 40 m
• A circular garden of radius 17.5m is developed

To Find :

• Cost of turfing the remaining portion at the rate of ₹28.50 m²

Solution :

$\small\rm{ Area \: of \: a \: rectangular \: plot = 70 × 40}$

$\small\rm{ = 2800 {m}^{2}}$

$\small \boxed{\rm{Area \: of \: a \: circle = \pi {r}^{2} }}$

$\small\rm{ Area \: of \: a \: circle = \frac{22}{7} \times ({17.5})^{2} }$

$⟼ \small\rm{ \frac{22}{7} \times 17.5 \times 17.5 }$

$⟼\small\rm{ \frac{22}{ \cancel7} \times \cancel {306.25} \: }$

$⟼\small\rm{22 \times 43.75}$

$\small\rm{Area \: of \: a \: circle =962.5 \: {m}^{2} }$

$\small \rm{Area \: of \: turfing = Area \: of \: a \: rectangular \: plot - Area \: of \: the \: circle}$

$⟼ \small\rm{ (2800 - 962.5){m}^{2} }$

$⟼ \small\rm{1837.5 \: {m}^{2} }$

$\small\rm {Cost \: of \: turfing = ₹(1837.5×28.50)}$

$\small\rm{ Cost \: o f \: turfing = ₹52368.75}$