Perimeter and Area Model Question Paper

6th Standard

Reg.No. :
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Maths

Time : 02:00:00 Hrs
Total Marks : 60
4 x 1 = 4
1. If two identical rectangles of perimeter 30 cm are joined together, then the perimeter of the new shape will be

(a)

equal to 60 cm

(b)

less than 60 cm

(c)

greater than 60 cm

(d)

equal to 45 cm

2. If every side of a rectangle is doubled, then its area becomes _____ times

(a)

2

(b)

3

(c)

4

(d)

6

3. The side of a square is 10 cm. If its side is tripled, then by how many times will its perimeter increase?

(a)

2 times

(b)

4 times

(c)

6 times

(d)

3 times

4. The length and breadth of a rectangular sheet of a paper are 15 cm and 12 cm respectively. A rectangular piece is cut from one of its corners. Which of the following statement is correct for the remaining sheet?

(a)

Perimeter remains the same but the area changes

(b)

Area remains the same but the perimeter changes

(c)

There will be a change in both area and perimeter

(d)

Both the area and perimeter remains the same

5. 8 x 2 = 16
6. Find the perimeter and the area of the rectangle whose length is 6 m and breadth is 4 m.

7. Find the perimeter and the area of the square whose side is 8 cm

8. Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet.

9. 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

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

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

12. 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.

13. (i) Find the breadth of the rectangle with perimeter 14m and length 4m
(ii) The perimeter of an isosces triangle is 21 cm. Find the measure of equal sides given that the third
side is 5 cm.

14. 10 x 3 = 30
15. If the length of a rectangle is 12 cm and the breadth is 10 cm, then find its perimeter

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

17. Find the cost of fencing a square plot of side 12 m at the rate of `15 per metre

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

19. Find the perimeter of the given figure.

20. Four identical square floor mats of side 15 cm are joined together to form either a rectangular mat or a square mat. Which mat will have a larger area and a longer perimeter?

21. Fill in the blanks.
i) 5 cm2 = _____ mm2
ii) 26 m2 = _____ cm2
iii) 8 km2 = _____ m2

22. 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.

23. 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.

24. 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.

25. 2 x 5 = 10
26. A closed shape has 20 equal sides and one of its sides is 3 cm. Find its perimeter.

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