Perimeter and Area Complete study material

6th Standard

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Maths

Time : 01:50:00 Hrs
Total Marks : 110
5 x 2 = 10
1. Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet.

2. The area of a rectangular shaped photo is 820 sq. cm. and its width is 20 cm. What is its length? Also find its perimeter

3. A square park has 40 m as its perimeter. What is the length of its side? Also find its area.

4. The scalene triangle has 40 cm as its perimeter and whose two sides are 13 cm and 15 cm, find the third side

5. A square of side 2 cm is joined with a rectangle of length 15 cm and breadth 10 cm. Find the perimeter of the combined shape.

6. 15 x 3 = 45
7. If the length of a rectangle is 12 cm and the breadth is 10 cm, then find its perimeter

8. The side of a square is 5 cm. Find its perimeter.

9. Find the perimeter of a triangle whose sides are 3 cm, 4 cm and 5 cm

10. Find the length of the rectangular blackboard whose perimeter is 6 m and the breadth is 1 m.

11. Find the side of a square shaped postal stamp of perimeter 8 cm.

12. Find the area of a rectangle of length 12 cm and breadth 7 cm.

13. Find the side of the equilateral triangle of perimeter 129 cm.

14. Find the area of a right angled triangle whose base is 18 cm and height is 12 cm.

15. Fill in the blanks.
i) 2 cm2 = _____ mm2
ii) 18 m2 = _____ cm2
iii) 5 km2 = _____ m2

16. The table given below contains some measures of the square. Find the unknown values

S. No Side Perimeter Area
i) 6 cm ? ?
ii) ? 100 m ?
iii) ? ? 49 square feet
17. A piece of wire is 36 cm long. What will be the length of each side if we form
i) a square
ii) an equilateral triangle.

18. From one vertex of an equilateral triangle with side 40 cm, an equilateral triangle with 6 cm side is removed. What is the perimeter of the remaining portion?

19. Rahim and Peter go for a morning walk, Rahim walks around a square path of side 50 m and Peter walks around a rectangular path with length 40 m and breadth 30 m. If both of them walk 2 rounds each, who covers more distance and by how much?

20. The length of a rectangular park is 14 m more than its breadth. If the perimeter of the park is 200 m, what is its length? Find the area of the park.

21. Your garden is in the shape of a square of side 5 m. Each side is to be fenced with 2 rows of wire. Find how much amount is needed to fence the garden at Rs.10 per metre.

22. 11 x 5 = 55
23. The table given below contains some measures of the rectangle. Find the unknown values

S. No Length Breadth Perimeter Area
i) 5 cm 8 cm ? ?
ii) 13 cm ? 54cm ?
iii) ? 15 cm 60 cm ?
iv) 10 m ? ? 120 square metre
v)   4 feet ? 20 square feet
24. Find the perimeter and area of the following shapes

25. A closed shape has 20 equal sides and one of its sides is 3 cm. Find its perimeter.

26. A rectangle has length 40 cm and breadth 20 cm. How many squares with side 10 cm can be formed from it.

27. The length of a rectangle is three times its breadth. If its perimeter is 64 cm, fi nd the sides of the rectangle

28. How many different rectangles can be made with a 48 cm long string? Find the possible pairs of length and breadth of the rectangles.

29. Draw a square B whose side is twice of the square A. Calculate the perimeters of the squares A and B.

30. What will be the area of a new square formed if the side of a square is made one-fourth?

31. Two plots have the same perimeter. One is a square of side 10 m and another is a rectangle of breadth 8 m. Which plot has the greater area and by how much?

32. Look at the picture of the house given and find the total area of the shaded portion.

33. Find the approximate area of the fl ower in the given square grid.