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Chapter: 7th Maths : Term 1 Unit 2 : Measurements

Exercise 2.1 (Area and Perimeter of the Parallelogram)

7th Maths : Term 1 Unit 2 : Measurements : Exercise 2.1 : Text Book Back Exercises Questions with Answers, Solution

Exercise 2.1

 

1. Find the area and perimeter of the following parallelograms:


Given base b = 11 cm

Height h = 3 cm

Area of the Parallelogram = b × h sq.units

                                         = 11 × 3 = 33 sq.cm

Perimeter of the Parallelogram = Sum of the length of the four sides

                                                = (11+ 4+11+ 4) cm

                                               = 30 cm


Given base b = 7 cm

Height h = 10 cm

Area of the Parallelogram = b × h sq.units

                                         = 7 × 10 = 70 sq.cm

Perimeter of the Parallelogram = Sum of the length of the four sides

                                                = (13 + 7+ 13 + 7) cm

                                                = 40 cm

 

2. Find the missing values.


Answer: 



 

3. Suresh won 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?


Answer: 

Area of the parallelogram Trophy = 735 sq.cm

                                          base b = 21 cm

We know that,

Area of the parallelogram = b × h = 735 sq.cm

                              21 × h = 735

                                      h = 735 / 21= 35 cm

The height of that trophy = 35 cm

 

4. 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.

Height of the parallelogram h = 12 m

                                    base b = 18 m

Area of the parallelogram = b ×  h sq.inits

                                        = 18 × 12 sq.m

                                        = 216 sq. m

Area of 4 parallelogram = 216 sq. m

Area of 1 parallelogram = 216 ÷ 4 sq. m = 54 sq. m

Area of each new parallelogram = 54 sq.m

 

5. 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 eveling the ground at the rate of 15 per sq. m.

Height of the parallelogram h = 14 m

                                    base b = 8m longer than its height

                                               = (8+ 14) m = 22 m

Area of the parallelogram = b  × h sq. units

                                        = 22 × 14 sq. m

                                        = 308 sq. m

     Cost of levelling 1 sq.m = ₹ 15

   Cost of levelling 308 sq.m = ₹ 308 × 15

                                            = ₹ 4620

Cost of levelling the ground = ₹ 4620

 

Objective type questions

 

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

(i) 12 cm

(ii) 10 cm

(iii) 24 cm

(iv) 22 cm

Answer: (iv) 22 cm

 

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

(i) 70 sq. m

(ii) 35 sq. m

(iii) 7 sq. m

(iv) 10 sq. m

Answer: (i) 70 sq. m

 

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

(i) 48 cm

(ii) 104 cm

(iii) 13 cm

(iv) 26 cm

Answer: (iii) 13 cm

 

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

(i) Decreases to half

(ii) Remains the same

(iii) Increases by two times

(iv) none

Answer: (ii) Remains the same

 

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

(i) 64 sq. cm

(ii) 192 sq. cm

(iii) 32 sq. cm

(iv) 72 sq. cm

Answer: (ii) 192 sq. cm

 

ANSWERS

Exercise 2.1

1. (i) area = 33 sq.cm perimeter = 30cm (ii) area = 70 sq.cm perimeter = 40 cm

2. (i) 90 sq.cm (ii) 7 m (iii) 13 mm

3. 35 cm

4. 54 sq.cm

5. ₹ 4620/-

Objective type questions

6. (iv) 22 cm

7. (i) 70 sq.m

8. (iii) 13 cm

9. (ii) Remains the same

10. (ii) 192 sq.cm

 

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7th Maths : Term 1 Unit 2 : Measurements : Exercise 2.1 (Area and Perimeter of the Parallelogram) | Questions with Answers, Solution | Measurements | Term 1 Chapter 2 | 7th Maths


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