Mensuration – CBSE Class 6 Mathematics/Extra Questions for Practice/Worksheet/Model Questions

Answer the following:

1. What is the length of the wooden strip required to frame a photograph of length and breadth 42cm and 34cm respectively.
2. A rectangular piece of land measures 0.9km by 0.7km. Each side to be fenced with 4 rows of wires. What is the length of the wire needed?
3. Find the perimeter of an equilateral triangle of side 7cm?
4. Find the perimeter of an isosceles triangle with equal sides 9cm each and third side 5cm.
5. A piece of string is 50cm long. What will be the length of each side if the string is used to form a regular pentagon?
6. Find the perimeter of a triangle with sides measuring 12cm, 10cm and 8cm?
7. Find the perimeter of a regular hexagon with each side measuring 7m?
8. Find the side of a square whose perimeter is 40cm?
9. Find the cost of fencing a square park of side 150m at the rate of 25 rupees per meter?
10. Find the cost of fencing a rectangular park of length 150m and breadth 125m at the rate of 15 rupees per meter?
11. Find the area of a rectangle whose sides are 7cm and 4cm?
12. Find the area of a square whose sides are 12cm?
13. The area of a rectangular garden is 40m long is 360 sq. meter. Find the width of the garden?
14. A room is 5m long and 3m 50cm wide. How many square meter of carpet is needed to cover the floor of the room?
15. The length of a cardboard is 27cm and its breadth is one third of its length. Find its area?

ANSWERS:

1. Length = 42cm
   Breadth = 34cm
   Perimeter = 2 x (l + b) = 2 x (42 + 34) = 2 x 76 = 152cm
2. Length = 0.9km
   Breadth = 0.7km
   Perimeter = 2 x (l + b) = 2 x (0.9 + 0.7) = 2 x 1.6 = 3.2 km
   Length of the wire needed for 4 rows = 3.2 x 4 = 12.8km
3. Perimeter = 3 x length of one side = 3 x 7 = 21 cm
4. Perimeter = 9 + 9 + 5 = 23cm
5. Given perimeter = 50cm
   Length of each side = 50/5 = 10cm
6. Perimeter = 12 + 10 + 8 = 30cm
7. Perimeter = 6 x side = 6 x 7 = 42m
8. Side of a square = 40/4 = 10cm
9. Perimeter = 4 x side = 4 x 150 = 600m
   Cost of fencing = 600 x 25 = 15000 rupees
10. Length = 150m
    Breadth = 125m
    Perimeter = 2 x (l + b) = 2 x (150 + 125) = 2 x 275 = 550m
    Cost of fencing = 550 x 15 = 8250 rupees
11. Area = l x b = 7 x 4 = 28 sq.cm
12. Area = side x side = 12 x 12 = 144 sq.cm
13. Length = 40m
    Area = 360m
    Width = Area/length = 360/40 = 9m
14. Length = 5m
    Breadth = 3m 50cm = 3.50m
    Area = l x b = 5 x 3.50 = 17.5 sq. meter
15. Length = 27cm
    Breadth = 1/3 of 27 = 9cm
    Area = l x b = 27 x 9 = 243 sq. meter