Page 183 - Ganit Kaushal

2. The length and breadth of a rectangular
sheet of paper are 20 cm and 10 cm,
respectively. A rectangular piece is cut 10 cm
from the sheet as shown in the figures. 5 cm
Which of the following statements is 20 cm 2 cm
correct for the remaining sheet?
(a) Perimeter remains the same, but area changes.
(b) Area remains the same, but perimeter changes.
(c) Both area and perimeter change.
(d) Both area and perimeter remain the same.

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

(a) 65 cm (b) 60 cm (c) 55 cm (d) 50 cm
4. A square-shaped park of side 100 m has two equal rectangular flower beds, 90 m
each of size 10 m × 5 m (see fig.). 5 m 10 m
The length of the boundary of the remaining park is
(a) 360 m 95 m 95 m
(b) 400 m

(c) 340 m 10 m
(d) 460 m 5 m
90 m
5. The side of a square is 10 cm. How many times the original perimeter will the new perimeter become
if the side of the square is doubled?
(a) 2 times (b) 4 times (c) 6 times (d) 8 times

6. If each side of a regular heptagon of side 5 cm is increased by 1 cm, then the increase in perimeter is
(a) 42 cm (b) 7 cm (c) 35 cm (d) 6 cm
7. A square piece of paper is folded in half. The square is then cut into two rectangles along the fold.
Regardless of the size of the square, a few statements are given below. Answer which statement is true
and which is false.
(a) The area of each rectangle is larger than the area of the square.
(b) The perimeter of the square is greater than the perimeter of both rectangles added together.
1
(c) The perimeters of both the rectangles added together are always 1 times the perimeter of the
square. 2

(d) The area of the square is always three times as large as the areas of both rectangles added
together. (NCERT)

8. Fill in the blanks.
(a) A curve which does not cut itself is called a __________ curve.
(b) A curve made up of equal sides and equal interior angles is called __________.
(c) The measure of a region enclosed by a plane figure is called its __________.
(d) Perimeter of a regular ‘n’ sided polygon with side length ‘a’ is __________.

(e) 1 sq m = __________ sq cm.

Perimeter and Area 181