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NCERT solutions for Mathematics [English] Class 7 chapter 9 - Perimeter and Area [Latest edition]

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NCERT solutions for Mathematics [English] Class 7 chapter 9 - Perimeter and Area - Shaalaa.com
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Solutions for Chapter 9: Perimeter and Area

Below listed, you can find solutions for Chapter 9 of CBSE NCERT for Mathematics [English] Class 7.


EXERCISE 9.1EXERCISE 9.2
EXERCISE 9.1 [Pages 151 - 152]

NCERT solutions for Mathematics [English] Class 7 9 Perimeter and Area EXERCISE 9.1 [Pages 151 - 152]

EXERCISE 9.1 | Q 1. (a) | Page 151

Find the area of the following parallelogram:

EXERCISE 9.1 | Q 1. (b) | Page 151

Find the area of the following parallelogram:

EXERCISE 9.1 | Q 1. (c) | Page 151

Find the area of the following parallelogram:

EXERCISE 9.1 | Q 1. (d) | Page 151

Find the area of the following parallelogram:

EXERCISE 9.1 | Q 1. (e) | Page 151

Find the area of the following parallelogram:

EXERCISE 9.1 | Q 2. (a) | Page 151

Find the area of the following triangle:

EXERCISE 9.1 | Q 2. (b) | Page 151

Find the area of the following triangle:

EXERCISE 9.1 | Q 2. (c) | Page 151

Find the area of the following triangle:

EXERCISE 9.1 | Q 2. (d) | Page 151

Find the area of the following triangle:

EXERCISE 9.1 | Q 3. a | Page 151

Find the missing value:

Base Height Area of parallelogram
20 cm ______ 246 cm2
EXERCISE 9.1 | Q 3. b | Page 151

Find the missing value:

Base Height Area of parallelogram
______ 15 cm 154.5 cm2
EXERCISE 9.1 | Q 3. c | Page 151

Find the missing value:

Base Height Area of parallelogram
______ 8.4 cm 48.72 cm2
EXERCISE 9.1 | Q 3. d | Page 151

Find the missing value:

Base Height Area of parallelogram
15.6 cm ______ 16.38 cm2
EXERCISE 9.1 | Q 4. (i) | Page 152

Find the missing value:

Base Height Area of triangle
15 cm ______ 87 cm2
EXERCISE 9.1 | Q 4. (ii) | Page 151

Find the missing value:

Base Height Area of Triangle
______ 31.4 mm 1256 mm2
EXERCISE 9.1 | Q 4. (iii) | Page 151

Find the missing value:

Base Height Area of Triangle
22 cm ______ 170.5 cm2
EXERCISE 9.1 | Q 5. | Page 152

PQRS is a parallelogram (see the given figure). QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find:

  1. the area of the parallelogram PQRS
  2. QN, if PS = 8 cm

EXERCISE 9.1 | Q 6. | Page 152

DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD (see the given figure). If the area of the parallelogram is 1470 cm2, AB = 35 cm and AD = 49 cm, find the length of BM and DL.

EXERCISE 9.1 | Q 7. | Page 152

ΔABC is right angled at A (see the given figure). AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12 cm, Find the area of ΔABC. Also find the length of AD.

EXERCISE 9.1 | Q 8. | Page 152

ΔABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm (see the given figure). The height AD from A to BC, is 6 cm. Find the area of ΔABC. What will be the height from C to AB i.e., CE?

EXERCISE 9.2 [Pages 158 - 159]

NCERT solutions for Mathematics [English] Class 7 9 Perimeter and Area EXERCISE 9.2 [Pages 158 - 159]

EXERCISE 9.2 | Q 1. (a) | Page 158

Find the circumference of the circle with the following radius: (Take `bb(pi = 22/7`) 

14 cm

EXERCISE 9.2 | Q 1. (b) | Page 158

Find the circumference of the circle with the following radius: (Take `bb(pi = 22/7`) 

28 mm

EXERCISE 9.2 | Q 1. (c) | Page 158

Find the circumference of the circle with the following radius: (Take `bb(pi = 22/7`) 

21 cm

EXERCISE 9.2 | Q 2. (a) | Page 158

Find the area of the following circle, given that radius = 14 mm (take `pi = 22/7`).

EXERCISE 9.2 | Q 2. (b) | Page 158

Find the area of the following circle, given that diameter = 49 m.

EXERCISE 9.2 | Q 2. (c) | Page 158

Find the area of the following circles, given that radius = 5 cm.

EXERCISE 9.2 | Q 3. | Page 158

If the circumference of a circular sheet is 154 m, find its radius. Also find the area of

the sheet. (Take `pi = 22/7`)

EXERCISE 9.2 | Q 4. | Page 158

A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the costs of the rope, if it cost ₹ 4 per meter. (Take `pi = 22/7`)

EXERCISE 9.2 | Q 5. | Page 158

From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take π = 3.14)

EXERCISE 9.2 | Q 6. | Page 158

Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one meter of the lace costs ₹ 15. (Take π = 3.14)

EXERCISE 9.2 | Q 7. | Page 158

Find the perimeter of the adjoining figure, which is a semicircle including its diameter.

EXERCISE 9.2 | Q 8. | Page 158

Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is ₹ 15/m2. (Take π = 3.14)

EXERCISE 9.2 | Q 9. | Page 158

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? (Take `pi = 22/7`)

EXERCISE 9.2 | Q 10. | Page 158

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 following figure). Find the area of the remaining sheet. (Take `pi = 22/7`)

EXERCISE 9.2 | Q 11. | Page 159

A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)

EXERCISE 9.2 | Q 12. | Page 159

The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take π = 3.14)  

EXERCISE 9.2 | Q 13. | Page 159

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? (π = 3.14)

EXERCISE 9.2 | Q 14. | Page 159

A circular flower garden has an area of 314 m2. A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take π = 3.14)

EXERCISE 9.2 | Q 15. | Page 159

Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take π = 3.14)

EXERCISE 9.2 | Q 16. | Page 159

How many times a wheel of radius 28 cm must rotate to go 352 m? (Take `pi = 22/7`)

EXERCISE 9.2 | Q 17. | Page 159

The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take π = 3.14)

Solutions for 9: Perimeter and Area

EXERCISE 9.1EXERCISE 9.2
NCERT solutions for Mathematics [English] Class 7 chapter 9 - Perimeter and Area - Shaalaa.com

NCERT solutions for Mathematics [English] Class 7 chapter 9 - Perimeter and Area

Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 7 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 7 CBSE 9 (Perimeter and Area) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] Class 7 chapter 9 Perimeter and Area are Area of Square, Triangles as Parts of Rectangles and Square, Generalising for Other Congruent Parts of Rectangles, Mensuration, Concept of Perimeter, Area of Rectangle, Concept of Area, Circumference of a Circle, Area of Circle, Problems based on Perimeter and Area, Perimeter of a Rectangle, Perimeter of Squares, Perimeter of Triangles, Perimeter of Polygon, Area of a Parallelogram, Area of a Triangle, Conversion of Units, Area of Square, Triangles as Parts of Rectangles and Square, Generalising for Other Congruent Parts of Rectangles, Mensuration, Concept of Perimeter, Area of Rectangle, Concept of Area, Circumference of a Circle, Area of Circle, Problems based on Perimeter and Area, Perimeter of a Rectangle, Perimeter of Squares, Perimeter of Triangles, Perimeter of Polygon, Area of a Parallelogram, Area of a Triangle, Conversion of Units.

Using NCERT Mathematics [English] Class 7 solutions Perimeter and Area exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 7 students prefer NCERT Textbook Solutions to score more in exams.

Get the free view of Chapter 9, Perimeter and Area Mathematics [English] Class 7 additional questions for Mathematics Mathematics [English] Class 7 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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