If the sides of a parallelogram are increased to twice of its original lengths, how much will the perimeter of the new parallelogram?
- A1.5 times
- ✓2 times
- C3 times
- D4 times
Answer: B.
View full solution →Question types
Perimeter and Area question types
90 questions across 9 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
90
Questions
9
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
15 Q→02Assertion (A) & Reason (B) MCQ
2 Q→03True False[1 Marks ]
5 Q→04BLANKS [1 Marks Each]
5 Q→051 Marks Question
9 Q→062 Marks Questions
32 Q→075 Marks Questions
9 Q→08Match the following.
2 Q→093 Marks Question
11 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.
When the circumference and area of a circle are numerically equal, what is the diameter numerically equal to (use $\pi=22 / 7$ )
- Aarea
- Bcircumference
- C271
- ✓4
Answer: D.
View full solution →What will be the area of the largest square that can be cut out of a circle of radius 10 cm ? (use $\pi=22 / 7$ )
- A$100 cm^2$
- ✓$200 cm^2$
- C$300 cm^2$
- D$400 cm^2$
Answer: B.
View full solution →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 (use $\pi=22 / 7$ )
- A21 cm
- B10.5 cm
- C14 cm
- ✓7 cm
Answer: D.
View full solution →
- A$20 cm^2$
- B$32 cm^2$
- ✓$40 cm^2$
- D$80 cm^2$
Answer: C.
View full solution →Assertion (A) 1760 m is the circumference of circle whose radius is 2.8 m . (use $\pi=22 / 7$ )
Reason (R) Circumference of a circle of radius $r$ is $2 \pi r$.
Reason (R) Circumference of a circle of radius $r$ is $2 \pi r$.
- AA and R are true and R is correct explanation of A.
- BA and R are true but R is not correct explanation of A.
- ✓A is false and R is true
- DA is true and R is false.
Answer: C.
View full solution →Assertion (A) $20 cm^2$ is the area of triangle, if the height and base are 8 m and 5 cm respectively.
Reason (R) Area of triangle $=\frac{1}{2} \times$ Base $\times$ Height
Reason (R) Area of triangle $=\frac{1}{2} \times$ Base $\times$ Height
- ✓A and R are true and R is correct explanation of A.
- BA and R are true but R is not correct explanation of A.
- CA is false and R is true
- DA is true and R is false.
Answer: A.
View full solution →An increase in perimeter of a figure always increases the area of the figure.
Ratio of circumference of a circle to its radius is always $2 \pi: 1$.
View full solution →Two figures can have the same areas, but different perimeters.
Triangles having the same base have equal area.
The area of parallelogram can be find out by any of its two adjoining sides.
The distance around a circle is its __________ .
Value of $\pi$ is __________ approximately.
View full solution →If area of a triangular piece of a cardboard is $90 cm^2$, then the height corresponding to 20 cm long base is __________ cm.
View full solution →In the following figure, area of parallelogram $B C E F$ is __________ $cm ^2$, where $A C D F$ is a rectangle.
View full solution →To find area, any side of parallelogram can be chosen as __________ of the parallelogram.
Find the area of a circle of radius 35 cm.
Diameter of circular plate is 7 cm . Find its area.
What is the radius of circle having circumference 176 cm.
What is the circumference of a circle of radius 7 cm.
Find the height of triangle with base 4 cm and area $12 cm^2$.
View full solution →In the adjoining figure,
(i) which square has the larger perimeter?
(ii) which is larger, perimeter of smaller square or the circumference of the circle?
(i) which square has the larger perimeter?
(ii) which is larger, perimeter of smaller square or the circumference of the circle?
Take different parallelograms. Divide each of the parallelograms into two triangles by cutting along any of its diagonals. Are the triangles congruent?
The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 h ? (take $\pi=3.14$ )
TIPS Given, length of the minute hand of a circular clock $=15 cm$. We know that minute hand moves in a circular path, so radius of the circular path formed by minute hand $=15 cm$.
View full solution →TIPS Given, length of the minute hand of a circular clock $=15 cm$. We know that minute hand moves in a circular path, so radius of the circular path formed by minute hand $=15 cm$.
How many times a wheel of radius 28 cm must rotate to go 352 m ? $\left(\right.$ take $\left.\pi=\frac{22}{7}\right)$
TIPS Firstly, find the circumference of the wheel which gives distance covered by wheel in one rotation. Then, find the number of rotations on dividing total distance by distance covered in one rotation.
View full solution →TIPS Firstly, find the circumference of the wheel which gives distance covered by wheel in one rotation. Then, find the number of rotations on dividing total distance by distance covered in one rotation.
Find the circumference of the inner and the outer circles, shown in the following figure? (take $\pi=3.14)$
View full solution →Draw circles of different radii on a graph paper. Find the area by counting the number of squares. Also, find the area by using the formula. Compare the two answers.
Consider the following parallelograms
Find the areas of the parallelograms by counting the squares enclosed within the figures and also find the perimeters by measuring the sides.
Complete the following table
View full solution →Find the areas of the parallelograms by counting the squares enclosed within the figures and also find the perimeters by measuring the sides.
Complete the following table
| Parallelogram | Base | Height | Area | Perimeter |
| (i) | 5 units | 3 units | 5 $\times$ 3 $=$ 15 sq units | |
| (ii) | ||||
| (iii) | ||||
| (iv) | ||||
| (v) | ||||
| (vi) | ||||
| (vii) |
From a circular card sheet of radius 14 cm , two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed. (as shown in the adjoining figure). Find the area of the remaining sheet. $\left(\right.$ take $\left.\pi=\frac{22}{7}\right)$
View full solution →Find the missing values.
View full solution →| S.No. | Base | Height | Area of the triangle |
| (i) | 15 cm | ... | $87 cm^2$ |
| (ii) | ... | 31.4 mm | $1256 cm^2$ |
| (iii) | 22 cm | ... | $170.5 cm^2$ |
Find the missing values.
View full solution →| S.No. | Base | Height | Area of the parallelogram |
| (i) | 20 cm | $246 cm^2$ | |
| (ii) | 15 cm | $154.5 cm^2$ | |
| (iii) | 8.4 cm | $48.72 cm^2$ | |
| (iv) | 15.6 cm | $16.38 cm^2$ |
| Column A | Column B |
| (a) Area of a triangle with base 4 cm and height 6 cm | (i) 44 cm |
| (b) Area of a parallelogram with base 8 cm and height 12 cm. | (ii) $12 cm^{2}$ |
| (c) Area of a circle with diameter 22 cm (use $\ \pi=22/7$ | (iii) $96 cm^{2}$ |
| (d) Perimeter of circle with radius 7 cm | (iv) $380.28m^{2}$ |
| Column A | Column B |
| (a) Area of a right angled triangle | (i) Base $\times$ Height |
| (b) Area of a parallelogram | (ii) $\pi r+2 r$ |
| (c) Circumference of the circle | (iii) $2 \pi r$ |
| (d) Perimeter of a semi-circle | (iv) $\frac{1}{2} \times$ Base $\times$ Height |
Find the area of the following parallelograms
(iii) In a parallelogram $A B C D, A B=7.2 cm$ and the perpendicular from $C$ on $A B$ is 4.5 cm.
View full solution →(iii) In a parallelogram $A B C D, A B=7.2 cm$ and the perpendicular from $C$ on $A B$ is 4.5 cm.
A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m . What is the area of this path? (take $\pi=3.14$ )
View full solution →Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also, find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? $\left(\right.$ take $\left.\pi=\frac{22}{7}\right)$
View full solution →Find the area of the following circles, given that
(i) radius $=14 mm\left(\right.$ take $\left.\pi=\frac{22}{7}\right)$
(ii) diameter $=49 m$
(iii) radius $=5 cm$
View full solution →(i) radius $=14 mm\left(\right.$ take $\left.\pi=\frac{22}{7}\right)$
(ii) diameter $=49 m$
(iii) radius $=5 cm$
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