#### Chapters

## Chapter 2: Measurements

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 2 Measurements Exercise 2.1 [Pages 38 - 39]

Find the area and perimeter of the following parallelograms

Find the area and perimeter of the following parallelograms

Find the missing values.

Base |
Height |
Area |

18 cm | 5 cm |

Find the missing values.

Base |
Height |
Area |

8 cm | 56 sq.m |

Find the missing values.

Base |
Height |
Area |

17 mm | 221 sq.mm |

Suresh on a parallelogram-shaped trophy in a state level chess tournament. He knows that the area of the trophy is 735 sq.cm and its base is 21 cm. What is the height of that trophy?

Janaki has a piece of fabric in the shape of a parallelogram. Its height is 12 m and its base is 18 m. She cuts the fabric into four equal parallelograms by cutting the parallel sides through its mid-points. Find the area of each new parallelogram

A ground is in the shape of parallelogram. The height of the parallelogram is 14 metres and the corresponding base is 8 metres longer than its height. Find the cost of levelling the ground at the rate of ₹ 15 per sq.m

#### Objective type questions

The perimeter of a parallelogram whose adjacent sides are 6 cm and 5 cm is

12 cm

10 cm

24 cm

22 cm

The area of parallelogram whose base 10 m and height 7 m is

70 sq.m

35 sq.m

7 sq.m

10 sq.m

The base of the parallelogram with area is 52 sq.cm and height 4 cm is

48 cm

104 cm

13 cm

26 cm

What happens to the area of the parallelogram if the base is increased 2 times and the height is halved?

Decreases to half

Remains the same

Increase by two times

None

In a parallelogram the base is three times its height. If the height is 8 cm then the area is

64 sq.cm

192 sq.cm

32 sq.cm

72 sq.cm

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 2 Measurements Exercise 2.2 [Page 43]

Find the area of rhombus PQRS shown in the following figure.

Find the area of rhombus PQRS shown in the following figure.

Find the area of a rhombus whose base is 14 cm and height is 9 cm.

Find the missing value.

Diagonal (d_{1}) |
Diagonal (d_{2}) |
Area |

19 cm | 16 cm |

Find the missing value.

Diagonal (d_{1}) |
Diagonal (d_{2}) |
Area |

26 m | 468 sq.m |

Find the missing value.

Diagonal (d_{1}) |
Diagonal (d_{2}) |
Area |

12 mm | 180 sq.mm |

The area of a rhombus is 100 sq.cm and length of one of its diagonals is 8 cm. Find the length of the other diagonal

A sweet is in the shape of rhombus whose diagonals are given as 4 cm and 5 cm. The surface of the sweet should be covered by an aluminum foil. Find the cost of aluminum foil used for 400 such sweets at the rate of ₹ 7 per 100 sq.cm

#### Objective type questions

The area of the rhombus with side 4 cm and height 3 cm is

7 sq.cm

24 sq.cm

12 sq.cm

10 sq.cm

The area of the rhombus when both diagonals measuring 8 cm is

64 sq.cm

32 sq.cm

30 sq.cm

16 sq.cm

The area of the rhombus is 128 sq.cm and the length of one diagonal is 32 cm. The length of the other diagonal is

12 cm

8 cm

4 cm

20 cm

The height of the rhombus whose area 96 sq.m and side 24 m is

8 m

10 m

2 m

4 m

The angle between the diagonals of a rhombus is

120°

180°

90°

100°

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 2 Measurements Exercise 2.3 [Page 47]

Find the missing values.

Height 'h' |
Parallel side 'a` |
Parallel side 'b` |
Area |

10 m | 12 m | 20 m |

Find the missing values.

Height 'h' |
Parallel side 'a` |
Parallel side 'b` |
Area |

13 cm | 28 cm | 492 sq.cm |

Find the missing values.

Height 'h' |
Parallel side 'a` |
Parallel side 'b` |
Area |

19 m | 16 m | 323 sq.m |

Find the missing values.

Height 'h' |
Parallel side 'a` |
Parallel side 'b` |
Area |

16 cm | 15 cm | 360 sq.cm |

Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm

The area of a trapezium is 1586 sq.cm. The distance between its parallel sides is 26 cm. If one of the parallel sides is 84 cm then find the other side

The area of a trapezium is 1080 sq.cm. If the lengths of its parallel sides are 55.6 cm and 34.4 cm. Find the distance between them

The area of a trapezium is 180 sq.cm and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm. Find the length of the parallel sides.

The sunshade of a window is in the form of isosceles trapezium whose parallel sides are 81 cm and 64 cm and the distance between them is 6 cm. Find the cost of painting the surface at the rate of ₹ 2 per sq.cm

A window is in the form of trapezium whose parallel sides are 105 cm and 50 cm respectively and the distance between the parallel sides is 60 cm. Find the cost of the glass used to cover the window at the rate of ₹ 15 per 100 sq.cm

#### Objective type questions

The area of the trapezium, if the parallel sides are measuring 8 cm and 10 cm and the height 5 cm is

45 sq.cm

40 sq.cm

18 sq.cm

50 sq.cm

In a trapezium if the sum of the parallel sides is 10 cm and the area is 140 sq.cm, then the height is

7 cm

40 cm

14 cm

28 cm

When the non-parallel sides of a trapezium are equal then it is known as

a square

a rectangle

an isosceles trapezium

a parallelogram

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 2 Measurements Exercise 2.4 [Pages 48 - 49]

#### Miscellaneous Practice problems

The base of the parallelogram is 16 cm and the height is 7 cm less than its base. Find the area of the parallelogram

An agricultural field is in the form of a parallelogram, whose area is 68.75 sq.hm. The distance between the parallel sides is 6.25 cm. Find the length of the base

A square and a parallelogram have the same area. If the side of the square is 48 m and the height of the parallelogram is 18 m. Find the length of the base of the parallelogram

The height of the parallelogram is one-fourth of its base. If the area of the parallelogram is 676 sq.cm, find the height and the base

The area of the rhombus is 576 sq.cm and the length of one of its diagonal is half of the length of the other diagonal then find the length of the diagonal

A ground is in the form of isosceles trapezium with parallel sides measuring 42 m and 36 m long. The distance between the parallel sides is 30 m. Find the cost of levelling it at the rate of ₹ 135 per sq.m

#### Challenge Problems

In a parallelogram PQRS (See the diagram) PM and PN are the heights corresponding to the sides QR and RS respectively. If the area of the parallelogram is 900 sq.cm and the length of PM and PN are 20 cm and 36 cm respectively, find the length of the sides QR and SR

If the base and height of a parallelogram are in the ratio 7 : 3 and the height is 45 cm, then fixed the area of the parallelogram

Find the area of the parallelogram ABCD if AC is 24 cm and BE = DF = 8 cm

The area of the parallelogram ABCD is 1470 sq.cm. If AB = 49 cm and AD = 35 cm then, find the height, DF and BE

One of the diagonals of a rhombus is thrice as the other. If the sum of the length of the diagonals is 24 cm, then find the area of the rhombus.

A man has to build a rhombus shaped swimming pool. One of the diagonal is 13 m and the other is twice the first one. Then find the area of the swimming pool and also find the cost of cementing the floor at the rate of ₹ 15 per sq.cm

Find the height of the parallelogram whose base is four times the height and whose area is 576 sq.cm

The table top is in the shape of a trapezium with measurements given in the figure. Find the cost of the glass used to cover the table at the rate of ₹ 6 per 10 sq.cm

Arivu has a land ABCD with the measurements given in the figure. If a portion ABED is used for cultivation (where E is the mid-point of DC), find the cultivated area.

## Chapter 2: Measurements

## Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide chapter 2 - Measurements

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide chapter 2 (Measurements) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Tamil Nadu Board of Secondary Education Class 7th Mathematics Term 1 Answers Guide solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 7th Mathematics Term 1 Answers Guide chapter 2 Measurements are Concept of Perimeter, Concept of Area, Properties of a Parallelogram, Properties of Rhombus, Properties of Trapezium, Area of a Parallelogram, Perimeter of Parallelogram, Area of a Rhombus, Area of Trapezium.

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