A verandah of width $2.25\ m$ is constructed all along outside a room which is $5.5\ m$ long and $4\ m$ wide. Find:
$(i)$ the area of the verandah.
$(ii)$ the cost of cementing the floor of the verandah at the rate of $₹\ 200\ per\ m^2$
Length of the room$= 5.5\ m$
Breadth of the room$= 4\ m$
Area of the room$=l\times b=5.5\ m\times4\ m=22\ m^2$
Width of the verandah$= 2.25\ m$
Length of the room including verandah
$=5.5\ m+2\times2.25\ m=10\ m$
The breadth of the room including verandah
$=4\ m+2\times2.25\ m=8.50\ m^2$
Area of the room including verandah$=l\times b$
$=10\ m\times8.50\ m=85\ m^2$
$(i)$. Area of the verandah$=85\ m^2-22\ m^2=63m^2$
$(ii)$. Cost of cementing the floor of the verandah$=Rs\ 63\times200=Rs\ 12600$
 
Related Articles
- What is the cost of tiling a rectangular plot of land \( 500 \mathrm{~m} \) long and \( 200 \mathrm{~m} \) wide at the rate of \( Rs.\ 8 \) per hundred sq. m.?
- A path $1\ m$ wide is built along the border and inside a square garden of side $30\ m$. Find:$(i)$ the area of the path$(ii)$ the cost of planting grass in the remaining portion of the garden at the rate of $₹\ 40\ per\ m^2$.
- A floor is \( 5 \mathrm{~m} \) long and \( 4 \mathrm{~m} \) wide. A square carpet of sides \( 3 \mathrm{~m} \) is laid on the floor. Find the area of the floor that is not carpeted.
- The length, breadth and height of a room are \( 5 \mathrm{~m}, 4 \mathrm{~m} \) and \( 3 \mathrm{~m} \) respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of Rs. \( 7.50 \) per \( \mathrm{m}^{2} \).
- The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per sq m.
- A balcony 2 metre wide is made all around surrounding two adjacent sides of a rectangular room office of size 6 m and 4 m. What is the area of the balcony what is the cost of cementing the balcony if the rate is rupees 250 per metre square?
- A closed iron tank $12\ m$ long, $9\ m$ wide and $4\ m$ deep is to be made. Determine the cost of iron sheet used at the rate of $Rs.\ 5$ per metre sheet, sheet being $2\ m$ wide.
- A circular pond is 17.5 m in diameter. It is surrounded by a 2 m wide path. Find the cost of constructing the path at the rate of Rs. 25 per $m^2$.
- Find the cost of digging a cuboidal pit $8\ m$ long, $6\ m$ broad and $3\ m$ deep at the rate of $Rs.\ 30$ per $m^3$.
- A rectangular park is 45m long and 30m wide. A path 2.5 m wide is constructed outside the park. Find the area of the path.
- Through a rectangular field of length $90\ m$ and breadth $60\ m$, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is $3\ m$, find$(i)$ the area covered by the roads.$(ii)$ the cost of constructing the roads at the rate of $₹ 110\ per\ m^2$.
- The inner circumference of a circular track is 44 m. If the track is 17.5 m wide everywhere, find the cost of fencing the outer circle at the rate of Rs 4/m
- Find the cost of fencing a rectangular field 62 m long and 33 m wide at Rs 16 per meter.
- A path of 4 m width runs round a semiÂcircular grassy plot whose circumference is $163\frac{3}{7}\ m$. Find the cost of turfing the plot at the rate of 45 paise per $m^2$.
- A room is \( 4 \mathrm{~m} \) long and \( 3 \mathrm{~m}\ 50 \mathrm{~cm} \) wide. How many square metres of carpet is needed to cover the floor of the room?
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies