Area of shaded portion in Fig. is:
- A$25 \mathrm{~cm}^2$
- B$15 \mathrm{~cm}^2$
- C$14 \mathrm{~cm}^2$
- ✓$10 \mathrm{~cm}^2$
Answer: D.
View full solution →Question types
Perimeter and Area question types
124 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
124
Questions
5
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
34 Q→021 Marks Question
34 Q→032 Marks Questions
10 Q→045 Marks Questions
9 Q→053 Marks Question
37 Q→Sample Questions
Perimeter and Area questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are $14\ cm \times 11\ cm$, then radius of the circle is:
- A$21\ cm$
- B$10.5\ cm$
- C$14\ cm$
- ✓$7\ cm$
Answer: D.
View full solution →Observe the shapes $1, 2, 3$ and $4$ in the figures. Which of the following statements is not correct?
- ✓Shapes $1, 3$ and $4$ have different areas and different perimeters.
- BShapes $1$ and $4$ have the same area as well as the same perimeter.
- CShapes $1, 2$ and $4$ have the same area.
- DShapes $1, 3$ and $4$ have the same perimeter.
Answer: A.
View full solution →If p squares of each side $1mm$ makes a square of side $1\ cm$, then $p$ is equal to:
- A$10$
- ✓$100$
- C$1000$
- D$10000$
Answer: B.
View full solution →$12m^2$ is the area of:
- AA square with side $12m.$
- ✓$12$ squares with side $1m$ each.
- C$3$ squares with side $4m$ each.
- D$4$ squares with side $3m$ each.
Answer: B.
View full solution →All parallelograms having equal areas have same perimeters. Observe all the four triangles $FAB, EAB, DAB$ and $CAB$ as shown in Fig. :
View full solution →Area of the square $MNOP$ of is $144\ cm^2$. Area of each triangle is ___________.
View full solution →$1m^2$ = ______ $mm^2$.
View full solution →In Fig. ratio of the area of triangle $ABC$ to the area of triangle $ACD$ is the same as the ratio of base $BC$ of triangle $ABC$ to the base $CD$ of triangle $ACD. $
View full solution → Triangles having the same base have equal area.
A room is $4.5m$ long and $4m$ wide. The floor of the room is to be covered with tiles of size $15\ cm$ by $10\ cm.$ Find the cost of covering the floor with tiles at the rate of $Rs. 4.50$ per tile.
View full solution →Find the total cost of wooden fencing around a circular garden of diameter $28\ m,$ if 1m of fencing costs $Rs. 300.$
View full solution →The moon is about $384000\ km$ from earth and its path around the earth is nearly circular. Find the length of path described by moon in one complete revolution. $($Take $\pi = 3.14)$
View full solution →A hedge boundary needs to be planted around a rectangular lawn of size $72m \times 18m.$ If $3$ shrubs can be planted in a metre of hedge, how many shrubs will be planted in all$?$
View full solution →Three squares are attached to each other as shown in Fig. Each square is attached at the mid point of the side of the square to its right. Find the perimeter of the complete figure.
The plan and measurement for a house are given in Fig. The house is surrounded by a path $1m$ wide. 
Find the following:
$i.$ Cost of paving the path with bricks at rate of $Rs. 120$ per $m^2.$
$ii.$ Cost of wooden flooring inside the house except the bathroom at the cost of $Rs. 1200$ per $m^2.$
$iii.$ Area of Living Room.
View full solution →Find the following:
$i.$ Cost of paving the path with bricks at rate of $Rs. 120$ per $m^2.$
$ii.$ Cost of wooden flooring inside the house except the bathroom at the cost of $Rs. 1200$ per $m^2.$
$iii.$ Area of Living Room.
Architects design many types of buildings. They draw plans for houses, such as the plan shown in Fig.
An architect wants to install a decorative moulding around the ceilings in all the rooms. The decorative moulding costs $Rs. 500/$metre.
$a.$ Find how much moulding will be needed for each room.
$i.$ Family room.
$ii.$ Living room.
$iii.$ Dining room.
$iv.$ Bedroom $1$
$v.$ Bedroom $2$
$b.$ The carpet costs $Rs. 200/m^2$. Find the cost of carpeting each room.
$c.$ What is the total cost of moulding for all the five rooms.
View full solution →An architect wants to install a decorative moulding around the ceilings in all the rooms. The decorative moulding costs $Rs. 500/$metre.
$a.$ Find how much moulding will be needed for each room.
$i.$ Family room.
$ii.$ Living room.
$iii.$ Dining room.
$iv.$ Bedroom $1$
$v.$ Bedroom $2$
$b.$ The carpet costs $Rs. 200/m^2$. Find the cost of carpeting each room.
$c.$ What is the total cost of moulding for all the five rooms.
In Fig. area of $\angle \text{AFB}$ is equal to the area of parallelogram $ABCD$. If altitude $EF$ is $16\ cm$ long, find the altitude of the parallelogram to the base $AB$ of length $10\ cm.$
What is the area of $\angle \text{DAO}$, where $O$ is the mid point of $DC?$
View full solution →What is the area of $\angle \text{DAO}$, where $O$ is the mid point of $DC?$
Use the Fig. showing the layout of a farm house:
$a.$ What is the area of land used to grow hay?
$b.$ It costs $Rs. 91$ per $m^2$ to fertilise the vegetable garden. What is the total cost?
$c.$ A fence is to be enclosed around the house. The dimensions of the house are $18.7m \times 12.6m$. At least how many metres of fencing are needed?
$d.$ Each banana tree required $1.25m^2$ of ground $sp$
View full solution →$a.$ What is the area of land used to grow hay?
$b.$ It costs $Rs. 91$ per $m^2$ to fertilise the vegetable garden. What is the total cost?
$c.$ A fence is to be enclosed around the house. The dimensions of the house are $18.7m \times 12.6m$. At least how many metres of fencing are needed?
$d.$ Each banana tree required $1.25m^2$ of ground $sp$
Study the layout given below in Fig. and answer the questions:
$a.$ Write an expression for the total area covered by both the bedrooms and the kitchen.
$b.$ Write an expression to calculate the perimeter of the living room.
$c.$ If the cost of carpeting is $Rs. 50/m^2,$ write an expression for calculating the total cost of carpeting both the bedrooms and the living room.
$d.$ If the cost of tiling is $Rs. 30/m^2,$ write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.
$e.$ If the floor area of each bedroom is $35m^2,$ then find $x.$
View full solution →$a.$ Write an expression for the total area covered by both the bedrooms and the kitchen.
$b.$ Write an expression to calculate the perimeter of the living room.
$c.$ If the cost of carpeting is $Rs. 50/m^2,$ write an expression for calculating the total cost of carpeting both the bedrooms and the living room.
$d.$ If the cost of tiling is $Rs. 30/m^2,$ write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.
$e.$ If the floor area of each bedroom is $35m^2,$ then find $x.$
carpet of size $5m \times 2m$ has 25cm wide red border. The inner part of the carpet is blue in colour Fig. Find the area of blue portion. What is the ratio of areas of red portion to blue portion?
View full solution →Find the area enclosed by the following figure:
A $10m$ long and $4m$ wide rectangular lawn is in front of a house. Along its three sides a $50\ cm$ wide flower bed is there as shown in Fig. Find the area of the remaining portion.
View full solution →Find the areas of the shaded region:
A wall of a room is of dimensions $5m \times 4m.$ It has a window of dimensions $1.5m \times 1m$ and a door of dimensions $2.25m \times 1m.$ Find the area of the wall which is to be painted.
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