Question

Given a reactangular ground is $90m$ long and $32m$ broad. In the middle of the ground there is a circular thank of radius $14$ metres. Find the cost of turfing the remaining portion at the rate of $Rs.2.50$ per square meter.

• A. $Rs.5660$
• B. $Rs.4295$
• C. $Rs.5525$
• D. $Rs.6250$

Answer 1

The correct option is A $Rs.5660$

Length of rectangle $=90m$

Breadth of rectangle $=32m$

Area of rectangular ground $=90m\times 32m=2880m^2$

Radius of circular tank $=14m$

Area enclosed by circular tank in the ground

$\pi r^2=\frac{22}{7}\times 14\times 14=616m^2$

$\therefore$ Area left for turfing $=(2880-616)m^2=2264m^2$

Cost turfing $1m^2$ area $=Rs.2.50$

$\therefore$ Cost of turfing $2264m^2$ area

$=Rs.2.50\times 2264$

$=Rs.5660$