Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 6th

# Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 3 Answers Guide chapter 3 - Perimeter and Area [Latest edition]

## Chapter 3: Perimeter and Area

Exercise 3.1Exercise 3.2
Exercise 3.1 [Pages 51 - 53]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 3 Answers Guide Chapter 3 Perimeter and AreaExercise 3.1 [Pages 51 - 53]

Exercise 3.1 | Q 1. i) | Page 51

The table given below contains some measures of the rectangle. Find the unknown values.

 Length Breadth Perimeter Area 5 cm 8 cm ? ?
Exercise 3.1 | Q 1. ii) | Page 51

The table given below contains some measures of the rectangle. Find the unknown values.

 Length Breadth Perimeter Area 13 cm ? 54 cm ?
Exercise 3.1 | Q 1. iii) | Page 51

The table given below contains some measures of the rectangle. Find the unknown values.

 Length Breadth Perimeter Area ? 15 cm 60 cm ?
Exercise 3.1 | Q 1. iv) | Page 51

The table given below contains some measures of the rectangle. Find the unknown values.

 Length Breadth Perimeter Area 10 m ? ? 120 sq.m
Exercise 3.1 | Q 1. v) | Page 51

The table given below contains some measures of the rectangle. Find the unknown values.

 Length Breadth Perimeter Area ? 4 feet ? 20 sq.feet
Exercise 3.1 | Q 2. i) | Page 51

The table given below contains some measures of the square. Find the unknown values.

 Side Perimeter Area 6 cm ? ?
Exercise 3.1 | Q 2. ii) | Page 51

The table given below contains some measures of the square. Find the unknown values.

 Side Perimeter Area ? 100 m ?
Exercise 3.1 | Q 2. iii) | Page 51

The table given below contains some measures of the square. Find the unknown values.

 Side Perimeter Area ? ? 49 sq.feet
Exercise 3.1 | Q 3. i) | Page 51

The table given below contains some measures of the right angled triangle. Find the unknown values.

 Base Height Area 20 cm 40 cm ?
Exercise 3.1 | Q 3. ii) | Page 51

The table given below contains some measures of the right angled triangle. Find the unknown values.

 Base Height Area 5 feet ? 20 sq.feet
Exercise 3.1 | Q 3. iii) | Page 51

The table given below contains some measures of the right angled triangle. Find the unknown values.

 Base Height Area ? 12 m 24 sq.m
Exercise 3.1 | Q 4. i) | Page 51

The table given below contains some measures of the triangle. Find the unknown values.

 Side 1 Side 2 Side 3 Perimeter 6 cm 5 cm 2 cm ?
Exercise 3.1 | Q 4. ii) | Page 51

The table given below contains some measures of the triangle. Find the unknown values.

 Side 1 Side 2 Side 3 Perimeter ? 8 m 3 m 17 m
Exercise 3.1 | Q 4. iii) | Page 51

The table given below contains some measures of the triangle. Find the unknown values.

 Side 1 Side 2 Side 3 Perimeter 11 feet ? 9 feet 28 feet

#### Fill in the blanks

Exercise 3.1 | Q 5. i) | Page 51

5 cm2 = _______ mm2

Exercise 3.1 | Q 5. ii) | Page 51

26 m2 = _______ cm2

Exercise 3.1 | Q 5. iii) | Page 51

8 km2 = _______ m2

Exercise 3.1 | Q 6. i) | Page 52

Find the perimeter and area of the following shape

Exercise 3.1 | Q 6. ii) | Page 52

Find the perimeter and area of the following shape

Exercise 3.1 | Q 6. iii) | Page 52

Find the perimeter and area of the following shape

Exercise 3.1 | Q 7 | Page 52

Find the perimeter and the area of the rectangle whose length is 6 m and breadth is 4 m

Exercise 3.1 | Q 8 | Page 52

Find the perimeter and the area of the square whose side is 8 cm

Exercise 3.1 | Q 9 | Page 52

Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet

Exercise 3.1 | Q 10. i) | Page 52

Find the perimeter of A scalene triangle with sides 7 m, 8 m, 10 m

Exercise 3.1 | Q 10. ii) | Page 52

Find the perimeter of An isosceles triangle with equal sides 10 cm each and third side is 7 cm

Exercise 3.1 | Q 10. iii) | Page 52

Find the perimeter of An equilateral triangle with side 6 cm

Exercise 3.1 | Q 11 | Page 52

The area of a rectangular shaped photo is 820 sq.cm. and its width is 20 cm. What is its length? Also find its perimeter

Exercise 3.1 | Q 12 | Page 52

A square park has 40 m as its perimeter. What is the length of its side? Also find its area

Exercise 3.1 | Q 13 | Page 52

The scalene triangle has 40 cm as its perimeter and whose two sides are 13 cm and 15 cm, find the third side

Exercise 3.1 | Q 14 | Page 52

A field is in the shape of a right angled triangle whose base is 25 m and height 20 m. Find the cost of levelling the field at the rate of ₹ 45 per sq.m2

Exercise 3.1 | Q 15 | Page 52

A square of side 2 cm is joined with a rectangle of length 15 cm and breadth 10 cm. Find the perimeter of the combined shape

#### Objective Type Questions

Exercise 3.1 | Q 16 | Page 52

The following figure are of equal area. Which figure has the least perimeter?

Exercise 3.1 | Q 17 | Page 53

If two identical rectangles of perimeter 30 cm are joined together, then the perimeter of the new shape will be

• equal to 60 cm

• less than 60 cm

• greater than 60 cm

• equal to 45 cm

Exercise 3.1 | Q 18 | Page 53

If every side of a rectangle is doubled, then its area becomes _______ times

• 2

• 3

• 4

• 6

Exercise 3.1 | Q 19 | Page 53

The side of a square is 10 cm. If its side is tripled, then by how many times will its perimeter increase?

• 2 times

• 4 times

• 6 times

• 3 times

Exercise 3.1 | Q 20 | Page 53

The length and breadth of a rectangular sheet of a paper are 15 cm and 12 cm respectively. A rectangular piece is cut from one of its corners. Which of the following statement is correct for the remaining sheet?

• Perimeter remains the same but the area changes

• Area remains the same but the perimeter changes

• There will be a change in both area and perimeter.

• Both the area and perimeter remains the same.

Exercise 3.2 [Pages 53 - 54]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 3 Answers Guide Chapter 3 Perimeter and AreaExercise 3.2 [Pages 53 - 54]

#### Miscellaneous Practice Problems

Exercise 3.2 | Q 1. i) | Page 53

A piece of wire is 36 cm long. What will be the length of each side if we form a square

Exercise 3.2 | Q 1. ii) | Page 53

A piece of wire is 36 cm long. What will be the length of each side if we form an equilateral triangle

Exercise 3.2 | Q 2 | Page 53

From one vertex of an equilateral triangle with side 40 cm, an equilateral triangle with 6 cm side is removed. What is the perimeter of the remaining portion?

Exercise 3.2 | Q 3 | Page 53

Rahim and Peter go for a morning walk, Rahim walks around a square path of side 50 m and Peter walks around a rectangular path with length 40 m and breadth 30 m. If both of them walk 2 rounds each, who covers more distance and by how much?

Exercise 3.2 | Q 4 | Page 53

The length of a rectangular park is 14 m more than its breadth. If the perimeter of the park is 200 m, what is its length? Find the area of the park

Exercise 3.2 | Q 5 | Page 53

Your garden is in the shape of a square of side 5 m. Each side is to be fenced with 2 rows of wire. Find how much amount is needed to fence the garden at ₹ 10 per metre

#### Challenge Problems

Exercise 3.2 | Q 6 | Page 53

A closed shape has 20 equal sides and one of its sides is 3 cm. Find its perimeter

Exercise 3.2 | Q 7 | Page 53

A rectangle has length 40 cm and breadth 20 cm. How many squares with side 10 cm can be formed from it

Exercise 3.2 | Q 8 | Page 53

The length of a rectangle is three times its breadth. If its perimeter is 64 cm, find the sides of the rectangle

Exercise 3.2 | Q 9 | Page 54

How many different rectangles can be made with a 48 cm long string? Find the possible pairs of length and breadth of the rectangles.

Exercise 3.2 | Q 10 | Page 54

Draw a square B whose side is twice of the square A. Calculate the perimeter of the squares A and B

Exercise 3.2 | Q 11 | Page 54

What will be the area of a new square formed if the side of a square is made one-fourth?

Exercise 3.2 | Q 12 | Page 54

Two plots have the same perimeter. One is a square of side 10 m and another is a rectangle of breadth 8 m. Which plot has the greater area and by how much?

Exercise 3.2 | Q 13 | Page 54

Look at the picture of the house given and find the total area of the shaded portion.

Exercise 3.2 | Q 14 | Page 54

Find the approximate area of the flower in the given square grid.

## Chapter 3: Perimeter and Area

Exercise 3.1Exercise 3.2

## Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 3 Answers Guide chapter 3 - Perimeter and Area

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Concepts covered in Class 6th Mathematics Term 3 Answers Guide chapter 3 Perimeter and Area are Concept of Perimeter, Perimeter of a Rectangle, Perimeter of Squares, Perimeter of Triangles, Concept of Area, Area of Rectangle, Area of Square, Area of a Triangle, Perimeter and Area of Combined Shapes, Estimate the Area of Irregular Shape Using a Graph Paper.

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