Mensuration/CBSE Class 6 Mathematics/Chapter 10/Worksheet

Extra Questions for Practice/Model Questions

Answer the following:

1. The area of a square plot is 3600 sq.cm. Find the length of each side?
2. The length of a cardboard is 24cm and its breadth is ¼ of its length. Find its area and perimeter?
3. The length and breadth of a rectangle are 35cm and 15cm respectively. Find its area and perimeter?
4. The side of a square is 9cm. Find its area and perimeter?
5. The area of a rectangle is 48 sq.cm. If its breadth is 8cm, find its length?
6. The area of a square is 121 sq.cm. Find the length of each side?
7. Find the perimeter of an equilateral triangle of length 7cm?
8. Find the perimeter of an isosceles triangle of equal side 5cm and third side 8cm?
9. The perimeter of a regular hexagon is 72 cm. Find the length of each side?
10. Find the perimeter of a regular pentagon of side 7cm?
11. Find the cost of fencing a rectangular park of length 8m and breadth 5m at 85 rupees per meter.
12. Find the cost of fencing a square park of side 250m at the rate of 24 rupees per metre.
13. A room is 4m 25cm long and 2m75cm wide. Find the area of the carpet needed to cover the floor?
14. The perimeter of a triangle is 40cm. The length of two sides are 14cm and 12 cm, find the length of third side?
15. Find the perimeter of a quadrilateral of sides 6cm, 7cm, 3cm and 2cm.

ANSWERS:

1. Area = 3600 sq.cm
   Side x Side = 3600
   60 x 60 = 3600
   Length of each side = 60cm
2. Length = 24cm
   Breadth = ¼ of 24 = 6cm
   Area = l x b = 24 x 6 = 144 sq.cm
   Perimeter = 2 x (l + b) = 2 x (24 + 6) = 2 x 30 = 60cm
3. Length = 35cm
   Breadth = 15cm
   Area = l x b = 35 x 15 = 525 sq.cm
   Perimeter = 2 x (l + b) = 2 x (35 + 15) = 2 x 50 = 100 cm
4. Side = 9cm
   Area = side x side = 9 x 9 = 81 sq.cm
   Perimeter = 4 x side = 4 x 9 = 36 cm
5. Area of a rectangle = 48 sq.m
   Breadth = 8cm
   Length = 48 divided by 8 = 6cm
6. Area = 121 sq.cm
   Side x side = 121 sq.cm
   11 x 11 = 121 sq.cm
   Length of each side = 11 cm
7. Perimeter of an equilateral triangle = 3 x side = 3 x 7 = 21cm
8. Perimeter = 5 + 5 + 8 = 18cm
9. Perimeter of a regular hexagon = 72cm
   Length of each side = 72 divided by 6 = 12 cm
10. Perimeter of a regular pentagon = 5 x side = 5 x 7 = 35 cm
11. Length = 8m
    Breadth = 5m
    Perimeter = 2 x (l + b) = 2 x (8+5) = 2 x 13 = 26m
    Cost of fencing = 26 x 85 = 2210 rupees
12. Perimeter = 4 x side = 4 x 250 = 1000 m
    Cost of fencing = 24 x 1000 = 24000 rupees
13. Length = 4m 25cm = 4.25m
    Breadth = 2m 75cm = 2.75m
    Area = l x b = 4.25 x 2.75 = 11.6875 sq.m
14. Perimeter = 40cm
    Length of third side = 40 – (14 + 12) = 40 – 26 = 14 cm
15. Perimeter = 6 + 7 + 3 + 2 = 18cm