Sample QuestionsMensuration questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Mark the correct alternative in the following question:
The area of a rectangle is $650\ cm^2$ and its breadth is $13\ cm.$ The perimeter of the rectangle is:
- A
$63\ cm$
- B
$130\ cm$
- C
$100\ cm$
- ✓
$126\ cm$
Answer: D.
View full solution →Perimeter of a square is the sum of the lengths of all the ....... sides:
Answer: D.
View full solution →The area of a rectangle is $255m^2.$ If its length is decreased by $1m$ and its breadth is increased by $1m,$ it becomes a Square. Find the perimeter of the square:
Answer: D.
View full solution →80 students of the same height, stand with both hands stretched all along the sides of a rectangular garden. each student covering a length of $1.75m$. Then the perimeter of the garden is:
- A
$1400m$
- ✓
$140m$
- C
$14m$
- D
$1400km$
Answer: B.
View full solution →A wire is in the form of a circle of radius $28\ cm$, then the side of the square into which it can be bent is:
- A
$\frac{\pi}{2}\text{cm}$
- B
${2}\pi\text{cm}$
- ✓
$44\ cm$
- D
$(\pi + 28)\ cm$
Answer: C.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Perimeter of a regular hexagon $= 6 \times $ Length of a side
Reason (R): Perimeter is the distance covered along the boundary forming a closed figure when you go round the figure once
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- D
$A$ is false but $R$ is true
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Perimeter of a rectangle $= 2 \times $ (Length $\times $ Breadth).
Reason (R): Perimeter is the distance covered along the boundary forming a closed figure when you go round the figure once.
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- ✓
$A$ is false but $R$ is true
Answer: D.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): An athlete takes $10$ rounds of a rectangular park, $40m$ long and $30m$ wide. The total distance covered by him is $1400m$
Reason (R): The amount of surface enclosed by a closed figure is called its area
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- D
$A$ is false but $R$ is true
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The perimeter of a regular pentagon is $10m$
Reason (R): Perimeter is the distance covered along the boundary forming a closed figure when you go round the figure once
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- ✓
$A$ is false but $R$ is true
Answer: D.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Apala went to a park $20m$ long and $10m$ wide. She took one complete round of it. The distance covered by her is $60m.$
Reason (R): The amount of surface enclosed by a closed figure is called its area
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- D
$A$ is false but $R$ is true
Answer: A.
View full solution →For fencing a garden, we must know its perimeter.
The perimeter of a square of side $50 \ cm$ is $200 \ cm.$
View full solution →The area of a square of side $40 \ cm$ is $160 sq \ cm.$
View full solution →The perimeter of a triangle of sides $3 \ cm, 4 \ cm$ and $5 \ cm$ is $12 \ cm.$
View full solution →If two squares have equal areas, then their perimeters are also equal.
For fencing a rectangular field. one must know its……….. (area. length, perimeter)
The area of a square whose perimeter is $32 \ cm$ is………...$sq \ cm. (32, 64, 16)$
View full solution →The perimeter of a square whose area is $81$ sq em is$……….. Cm. (36, 27, 8)$
View full solution →The area of a rectangle of length $10 \ cm$ and breadth $6 \ cm$ is$………..sq \ cm. (32, 60, 10)$
View full solution →The area of a square of side $12 \ cm$ is………….$sq \ cm. (48. 144. 2)$
View full solution →A table-top measures $2\ m$ by $1\ m\ 50\ cm.$ What is its area in square metres$?$
View full solution →What is the perimeter of the figure? What do you infer from the answer?
Find the area of the square whose side are $14 \ cm.$
View full solution →Find the area of the square whose side are $10 \ cm.$
View full solution →Find the area of the rectangle whose side are $2 \ km$ and $3 \ km.$
View full solution →A room is $4\ m$ long and $3\ m \ 50 \ cm$ wide. How many square metre of carpet is needed to cover the floor of the room?
View full solution →The area of a rectangular garden $50\ m$ long is $300\ sq. m.$ Find the width of the garden.
View full solution →Find the area of the rectangle whose side are $2\ m$ and $70\ cm.$
View full solution →By splitting the figure into rectangle, find their area.(The measures are given in centimetre).
What is the perimeter of the figure? What do you infer from the answer?
Five square flower beds each of sides $1 m$ are dug on a piece of land $5 m$ long and $4 m$ wide. What is the area of the remaining part of land?
View full solution →A floor is $5 m$ long and $4 m$ wide. A square carpet of sides $3 m$ is laid on the floor. Find the area of the floor that is not carpeted.
View full solution →What is the cost of tiling a rectangular piece of land $500 m$ long and $200 m$ wide at the rate of $Rs\ 8$ per hundred sq m?
View full solution →. The length and breadth of the three rectangles are as given below:
$i.\ 9 m$ and $6 m$
$ii.\ 3 m$ and $17 m$
$iii.\ 4 m$ and $14 m$
Which one has the largest area and which one has the smallest?
View full solution →How many tiles whose length and breadth are $12 \ cm$ and $5 \ cm$ respectively will be needed to fit in a rectangular region whose length and breadth are $70 \ cm$ and $36 \ cm$ respectively.
View full solution →A rectangular piece of land measures $0.7 \ km$ by $0.5 \ km.$ Each side is to be fenced with $4$ rows of wires. What is the length of the wire needed ?
View full solution →Sweety runs around a square park of side $75 m.$ Babul runs around a rectangular with length $60 m$ and breadth $45 m.$ Who covers less distance?
View full solution →Two sides of a triangle are $12 \ cm$ and $14 \ cm.$ The perimeter of the triangle is $36 \ cm.$ What is the third side$?$
View full solution →A piece of string is $30 \ cm$ long. What will be the length of each side if the string is used to form a regular hexagon?
View full solution →A piece of string is $30 \ cm$ long. What will be the length of each side if the string is used to form an equilateral triangle?
View full solution →