Page 210 - Start Up Mathematics_6

4. A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the
area of the floor that is not carpeted.

5. Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide.
What is the area of the remaining part of the land?
Exemplar Problems

1. Following figures are formed by joining six unit squares. Which figure has the smallest
perimeter?

(i) (ii) (iii) (iv)

(a) (ii) (b) (iii) (c) (iv) (d) (i)

A 100 m B
2. A square shaped park ABCD of side 100 m has two equal 5 m
rectangular flower beds each of size 10 m × 5 m. Length of the 10 m
boundary of the remaining park is:

(a) 360 m (b) 400 m
(c) 340 m (d) 460 m

D C

3. Two regular hexagons of perimeter 30 cm each are joined
as shown in the figure. The perimeter of the new figure is:

(a) 65 cm (b) 60 cm
(c) 55 cm (d) 50 cm

4. To find the cost of painting a wall we need to find the perimeter of the wall. (True/False)
5. To find the cost of a frame of a picture, we need to find the perimeter of the picture.
(True/False)

6. Four regular hexagons are drawn so as to form the design as shown
in the figure. If the perimeter of the design is 28 cm, find the length
of each side of the hexagon.

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