Exercise 2.1
1. Find the area and perimeter of the following parallelograms:
Given base b = 11 cm
Height h = 3 cm
Area of the Parallelogram =
b × h sq.units
= 11 × 3 = 33 sq.cm
Perimeter of the Parallelogram = Sum of the length of the four
sides
= (11+ 4+11+ 4) cm
= 30 cm
Given base b = 7 cm
Height h = 10 cm
Area of the Parallelogram = b
× h sq.units
= 7 ×
10 = 70 sq.cm
Perimeter of the Parallelogram = Sum of the length of the four
sides
= (13 + 7+ 13 + 7) cm
= 40 cm
2.
Find the missing values.
Answer:
3.
Suresh won a parallelogram-shaped trophy
in a state level Chess tournament. He knows that the area of the trophy is 735 sq.
cm and its base is 21 cm. What is the
height of that trophy?
Answer:
Area of the parallelogram Trophy = 735 sq.cm
base b = 21 cm
We know that,
Area of the parallelogram = b
× h = 735 sq.cm
21 × h = 735
h = 735 / 21= 35 cm
The height of that
trophy = 35 cm
4. Janaki has a piece of fabric in the shape of
a parallelogram. Its height is 12 m and its base is 18 m. She cuts the
fabric into four equal parallelograms by cutting the parallel sides through its
mid-points. Find the area of each new parallelogram.
Height of the parallelogram h
= 12 m
base b
= 18 m
Area of the parallelogram = b
× h sq.inits
= 18 × 12 sq.m
= 216 sq.
m
Area of 4 parallelogram = 216 sq. m
Area of 1 parallelogram = 216 ÷ 4 sq. m = 54 sq. m
Area of each new
parallelogram = 54 sq.m
5.
A ground is in the shape of parallelogram. The height of the parallelogram is
14 metres and the corresponding base is 8 metres longer than its height. Find
the cost of eveling the ground at the rate of ₹ 15 per sq. m.
Height of the parallelogram h
= 14 m
base b
= 8m longer than its height
= (8+ 14) m
= 22 m
Area of the parallelogram = b
× h sq. units
= 22 × 14 sq.
m
= 308 sq.
m
Cost of levelling 1 sq.m = ₹ 15
Cost of levelling 308
sq.m = ₹ 308 × 15
= ₹ 4620
Cost of levelling
the ground = ₹ 4620
Objective
type questions
6. The perimeter of a parallelogram whose
adjacent sides are 6 cm and 5 cm is
(i)
12 cm
(ii)
10 cm
(iii)
24 cm
(iv)
22 cm
Answer: (iv) 22 cm
7. The area of a parallelogram whose base 10 m and height 7 m is
(i)
70 sq. m
(ii)
35 sq. m
(iii)
7 sq. m
(iv)
10 sq. m
Answer: (i) 70 sq.
m
8. The base of the parallelogram with area is
52 sq. cm and height 4 cm is
(i)
48 cm
(ii)
104 cm
(iii)
13 cm
(iv)
26 cm
Answer: (iii) 13 cm
9.
What happens to the area of the parallelogram, if the base is increased 2 times
and the height is halved?
(i) Decreases to half
(ii) Remains the same
(iii) Increases by two times
(iv) none
Answer: (ii) Remains the same
10.
In a parallelogram the base is three times its height. If the height is 8 cm then the area
is
(i) 64 sq.
cm
(ii) 192 sq.
cm
(iii) 32 sq.
cm
(iv) 72 sq.
cm
Answer: (ii) 192 sq.
cm
ANSWERS
Exercise 2.1
1. (i) area = 33 sq.cm perimeter = 30cm (ii) area = 70 sq.cm perimeter = 40 cm
2. (i) 90 sq.cm (ii) 7 m (iii) 13 mm
3. 35 cm
4. 54 sq.cm
5. ₹ 4620/-
Objective type questions
6. (iv) 22 cm
7. (i) 70 sq.m
8. (iii) 13 cm
9. (ii) Remains the same
10. (ii) 192 sq.cm
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