Selina solutions concise mathematics class 6 icse Solutions for Chapter 32 perimeter and area of plane figures

Exercises in Chapter 32 perimeter and area of plane figures Grade 6

Exercise 32(A)

Exercise 32(B)

Questions in Exercise 32(A)

Q1) What do you understand by a plane closed figure?

Q2) The interior of a figure is called region of the figure. Is this statement true ?

Q3) Find the perimeter of each of the following closed figures :

Q4) Find the perimeter of a rectangle whose: (i) length = 40 cm and breadth = 35 cm (ii) length = 10 m and breadth = 8 m (iii) length = 8 m and breadth = 80 cm (iv) length = 3.6 m and breadth = 2.4 m

Q5) If P denotes perimeter of a rectangle, l denotes its length and b denotes its breadth, find : (i) l, if P = 38cm and b = 7cm (ii) b, if P = 3.2m and l = 100 cm (iii) P, if l = 2 m and b = 75cm

Q6) Find the perimeter of a square whose each side is 1.6 m.

Q7) Find the side of the square whose pe-rimeter is 5 m.

Q8) A square field has each side 70 m whereas a rectangular field has length = 50 m and breadth = 40 m. Which of the two fields has greater perimeter and by how much?

Q9) A rectangular field has length = 160 m and breadth = 120 m. Find : (i) the perimeter of the field. (ii) the length of fence required to enclose the field. (iii) the cost of fencing the field at the rate of ? 80 per metre.

Q10) Each side of a square plot of land is 55 m. Find the cost of fencing the plot at the rate of Rs. 32 per metre.

Q11) Each side of a square field is 70 cm. How much distance will a boy walk in order to make ? (i) one complete round of this field ? (ii) 8 complete rounds of this field ?

Q12) A school playground is rectangular in shape with length = 120 m and breadth = 90 m. Some school boys run along the boundary of the play-ground and make 15 complete rounds in 45 minutes. How much distance they run during this period.

Q13) Mohit makes 8 full rounds of a rectangular field with length = 120 m and breadth = 75 m. John makes 10 full rounds of a square field with each side 100 in. Find who covers larger distance and by how much?

Q14) The length of a rectangle is twice of its breadth. If its perimeter is 60 cm, find its length.

Q15) Find the perimeter of : (i) an equilateral triangle of side 9.8 cm. (ii) an isosceles triangle with each equal side = 13 cm and the third side = 10 cm. (iii) a regular pentagon of side 8.2 cm. (iv) a regular hexagon of side 6.5 cm.

Q16) An equilateral triangle and d square have an equal perimeter. If the side of the triangle is 9.6 cm; what is the length of the side of the square?

Q17) A rectangle with length = 18 cm and breadth = 12 cm has same perimeter as that of a regular pentagon. Find the side of the pentagon.

Q18)A regular pentagon of each side 12 cm has same perimeter as that of a regular hexagon. Find the length of each side of the hexagon.

Q19) Each side of a square is 45 cm and a rectangle has length 50 cm. If the perimeters of both (square and rectangle) are same, find the breadth of the rectangle.

Q20) A wire is bent in the form of an equilateral triangle of each side 20 cm. If the same wire is bent in the form of a square, find the side of the square.

Questions in Exercise 32(B)

Q1) Find the area of a rectangle whose :

(i) length = 15 cm breadth = 6.4 cm

(ii) Length = 8.5 m breadth = 5 m

(iii) Length = 3.6 m breadth = 90 cm

(iv) Length = 24 cm breadth =180 mm

Q2) Find the area of a square, whose each side is : (i) 7.2 cm (ii) 4.5 m (iii) 4.1 cm

Q3) If A denotes area of a rectangle, l represents its length and b represents its breadth, find : (i) l, if A = 48 cm² and b = 6 cm (ii) b, if A = 88 m² and l = 8m

Q4)Each side of a square is 3.6 cm; find its (i) perimeter (ii) area.

Q5) The perimeter of a square is 60 m, find : (i) its each side its area (ii) its new area obtained on increasing (iii) each of its sides by 2 m.

Q6) Each side of a square is 7 m. If its each side be increased by 3 m, what will be the increase in its area.

Q7) The perimeter of a square field is numerically equal to its area. Find each side of the square.

Q8) A rectangular piece of paper has area = 24 cm² and length = 5 cm. Find its perimeter.

Q9) Find the perimeter of a rectangle whose area = 2600 m² and breadth = 50 m.

Q10)What will happen to the area of a rectangle, if its length and breadth both are trebled?

Q11) Length of a rectangle is 30 m and its breadth is 20 m. Find the increase in its area if its length is increased by 10 m and its breadth is doubled.

Q12)The side of a square field is 16 m. What will be increase in its area, if: (i) each of its sides is increased by 4 m (ii) each of its sides is doubled.

Q13) Each rectangular tile is 40 cm long and 30 cm wide. How many tiles will be required to cover the floor of a room with length = 4.8 m and breadth = 2.4 m.

Q14) Each side of a square tile is 60 cm. How many tiles will be required to cover the floor of a hall with length = 50 m and breadth = 36 m.

Q15)The perimeter of a square plot = 360 m. Find : (i) its area. (ii) cost of fencing its boundary at the rate of Rs. 40 per metre. (iii) cost of levelling the plot at Rs. 60 per square metre.

Q16) The perimeter of a rectangular field is 500 m and its length = 150 m. Find: (i) its breadth, (ii) its area. (iii) cost of ploughing the field at the rate of Rs. 1.20 per square metre.

Q17) The cost of flooring a hall of Rs. 64 per square metre is Rs. 2,048. If the breadth of the hall is 5m, find :

(i) its length.

(ii) its perimeter.

(iii) cost of fixing a border of very small width along its boundary at the rate of Rs. 60 per square metre.

Q18) The cost of flooring a hall of Rs. 64 per square metre is Rs. 2,048. If the breadth of the hall is 5m, find :

(i) its length.

(ii) its perimeter.

(iii) cost of fixing a border of very small width along its boundary at the rate of Rs. 60 per square metre.