Mathematics
Class 8
Area of Polygons
Q1)
Fill in the blank:
(1 Mark)
The formula to find the area of a parallelogram is --------------.
Q2)
Fill in the blank:
(1 Mark)
In the formula for the area of a parallelogram, the base can be any side and the height
is the -------------- altitude.
Q3)
Fill in the blank:
(1 Mark)
If a1 and a2 are the lengths of the parallel sides of a trapezium, and h is the distance
between these two sides, then area of a trapezium = -----------.
Q4)
Fill in the blank:
(1 Mark)
When calculating the area of a parallelogram, the measurements must be in the same
----------.
Q5)
Two adjacent sides of a parallelogram are in the ratio of 4 : 3. If the perimeter of the
parallelogram is 210 m, find the lengths of the sides of the parallelogram.
(2 Marks)
Q6)
The area of a rhombus is 63 cm2 and its perimeter is 36 cm. find its altitude.
(1 Mark)
Q7)
The diagonals of a rhombus are 16 cm and 18 cm. Find its area.
(1 Mark)
Q8)
Q9)
(2 Marks)
Find the length of the base of a parallelogram of height 6 cm and area 72 cm 2.
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(1 Mark)
Mathematics
Class 8
Q10)
If the base of a parallelogram is 15 dam and corresponding height is 6 dam, find its
area in square meters.
(1 Mark)
Q11)
The area of a parallelogram is 3.36 m2. If an altitude is 12 dm, find the length of the
corresponding base.
(1 Mark)
Q12)
Find the length of a square playground whose area is equal to the area of rectangular (3 Marks)
field of dimensions 72 m and 338 m.
Q13)
(2 Marks)
Q14)
Find the area of the trapezia if a1 = length of one parallel side, a2 = length of the other (2 Marks)
parallel side and h = distance between the two parallel sides.
a. a1 = 12 cm, a2 = 8 cm, and h = 5 cm.
b. a1 = 18 cm, a2 = 6 cm, and h = 10 cm.
Q15)
The parallel sides of a trapezium are 40 cm and 70 cm. Its non-parallel sides are equal, (4 Marks)
25 cm each. Find the area of the trapezium.
Q16)
The area of a parallelogram is 13.44 m2. If an altitude is 24 dm, find the length of the
corresponding base.
(2 Marks)
Q17)
The base of a parallelogram is 1.2 m and height is 70 cm. Find the area in
(2 Marks)
a. cm2
b. m2
Q18)
The area of a parallelogram is 147 cm2. If one of its sides is 24.5 cm long, find the
corresponding altitude.
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(1 Mark)
Mathematics
Class 8
Answers
Q1)
Base x height
Q2)
Corresponding
Q3)
Q4)
Unit
Q5)
Q6)
Q7)
Macmillan Publishers India Private Limited
Mathematics
Class 8
Q8)
Q9)
Area = length x height
72 = 6 x length
length = 12 cm
Q10)
1dam = 10 m
base = 150 m
height = 60 m
Area = 150 x 60 = 9000 m2
Q11)
Q12)
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Mathematics
Class 8
Q13) a.
b.
Q14)
.
Q15)
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Mathematics
Class 8
Q16)
Q17)
Base = 1.2 m = 120 cm
height = 70 cm = .7 m
a. Area in cm2 = 120 x 70 = 8400 cm2
b. Area in m2 = 1.2 x .7 = .84 m2
Q18)
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