Page 112 - Revised Maths Wisdom Class - 6

110 MATHS

6. Find the perimeter of the square of side ‘a’ unit. What will be the perimeter if its side becomes ‘2a’ unit?

7. The perimeter of a rectangular park is 189 m. If its breadth is 31.25 m, find its length.
8. What is the length of wooden strip required to frame a photograph of length 33 cm and breadth 19 cm?
9. Mr. Kapoor bought a land of length 0.9 km and width 0.5 km. If each side of this rectangular land is to be

fenced with 3 rows of wires, what is the length of wire required to do so?
10. Saloni runs around a square park of side 85 m whereas Roja runs around a triangular park of each side
90.5 m. Who covers less distance?
11. Find the cost of fencing a square park with 4 rows of wires at the rate of ` 15.75 per metre, if the side is
350 m long.

12. Vasu is designing a triangular tile whose perimeter is 134 cm. If two of its sides are 38 cm and
29 cm, find the third side.
13. A piece of wire is 750 cm long. What will be the length of each side if the wire is used to form:
(a) an equilateral triangle (b) a square (c) a regular pentagon

(d) a regular hexagon (e) a regular decagon?
14. Reema is decorating a square scenery with ice cream sticks each of length 10.5 cm. If the side of square is
31.5 cm, find how many sticks will be required to cover the border of scenery?

15. The length and breadth of a rectangular field are in the ratio 11:7. If its perimeter is 32 m 40 cm, find its
dimensions.
16. A wire 1 m 68 cm long is cut into two equal pieces. One piece is used to make a regular hexagon and the other
is used to make a regular pentagon. Find the difference in the length of the sides of the pentagon and hexagon
formed.
17. Ramya and Ritu have 9 square tiles of side 1 m each. Draw any two different designs for each of them that can
be formed using these tiles and find out the perimeter of each.

Area

Region enclosed by a closed figure is called its area. For example, here the shaded
region is the area of this figure.

Units of Area
The standard unit of area is sq. m or m or sq.cm or cm . Thus 1 cm = 100 mm 2 1 dam = 100 m 2
2

2
2
2
1 m is the area of region formed by a square of side 1 m. Few 2 2 2 2
2
useful conversions are as here: 1 m = 10000 cm 1 km = 100 hm
1 dm = 100 cm 2 1 hectare = 10000 m 2
2
Area of Irregular Shapes
The approximate area of a region enclosed by a given shape can easily be found using a
tool like a squared paper or graph paper of 1 cm × 1 cm. Let us learn through an example:
Observe the figure given above carefully. It is an irregular shape so we place it on a
graph paper as shown in the figure. Using the following steps, we can find its area:

Step 1: Count the number of complete squares covered by the figure and number them.
There are 7 complete squares.