EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Areas of Parallelograms and Triangles
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Consider the following triangles. Which two triangles have the same area?
(i)
△IJK and △OPQ
(ii)
△IJK and △LMN
(iii)
△FGH and △IJK
(iv)
△FGH and △LMN
(v)
△FGH and △OPQ
Question
2
2.
In △PQR, if base QR = 19 cm and the corresponding height of side QR = 8.11 cm, then area of the triangle =
(i)
72.07 sq.cm
(ii)
82.07 sq.cm
(iii)
77.07 sq.cm
(iv)
80.07 sq.cm
(v)
74.07 sq.cm
Question
3
3.
In a right angled triangle △PQR, if the base QR = 20 cm and the corresponding height is 10 cm, then area of the triangle =
(i)
88.00 sq.cm
(ii)
100.00 sq.cm
(iii)
113.00 sq.cm
(iv)
115.00 sq.cm
Question
4
4.
Consider the following triangles. Which two triangles have the same area?
(i)
△TAB and △QAB
(ii)
△MAB and △QAB
(iii)
△TAB and △PAB
(iv)
△MAB and △TAB
(v)
△MAB and △PAB
Question
5
5.
In parallelogram PQRS, if base PQ = 18.00 cm and the corresponding height is 9.32 cm, then area of the parallelogram =
(i)
143.76 sq.cm
(ii)
167.76 sq.cm
(iii)
162.76 sq.cm
(iv)
180.76 sq.cm
(v)
195.76 sq.cm
Question
6
6.
In rhombus PQRS, if diagonals QS = 16.00 cm and PR = 22.98 cm, the area of the rhombus =
(i)
181.84 sq.cm
(ii)
165.84 sq.cm
(iii)
183.84 sq.cm
(iv)
207.84 sq.cm
(v)
187.84 sq.cm
Question
7
7.
In a right angled triangle △PQR, if QR = 11 cm is one of the perpendicular sides and RP = 21.1 cm is the hypotenuse, then area of the triangle =
(i)
94.00 sq.cm
(ii)
96.00 sq.cm
(iii)
102.00 sq.cm
(iv)
104.00 sq.cm
(v)
99.00 sq.cm
Question
8
8.
In an isosceles triangle △ABC, if BC = 19 cm, AB = CA = 12 cm, then area of the triangle =
(i)
74.65 sq.cm
(ii)
72.65 sq.cm
(iii)
69.65 sq.cm
(iv)
64.65 sq.cm
(v)
66.65 sq.cm
Question
9
9.
In parallelogram PQRS, if base PQ = 18.00 cm and the corresponding height is 11.35 cm, then area of the parallelogram =
(i)
227.30 sq.cm
(ii)
187.30 sq.cm
(iii)
204.30 sq.cm
(iv)
212.30 sq.cm
(v)
188.30 sq.cm
Question
10
10.
In a right angled triangle △PQR, if QR = 14 cm, PQ = 10 cm are the lengths of perpendicular sides , then area of the triangle =
(i)
65.00 sq.cm
(ii)
73.00 sq.cm
(iii)
67.00 sq.cm
(iv)
75.00 sq.cm
(v)
70.00 sq.cm
Question
11
11.
Consider the following parallelograms. Which two parallelograms have the same area?
(i)
EFGH and MNOP
(ii)
EFGH and QRST
(iii)
ABCD and QRST
(iv)
MNOP and QRST
(v)
ABCD and EFGH
Question
12
12.
In an isosceles right angled triangle △PQR, if QR = 10 cm is one of the equal sides, then area of the triangle =
(i)
50.00 sq.cm
(ii)
45.00 sq.cm
(iii)
47.00 sq.cm
(iv)
53.00 sq.cm
(v)
55.00 sq.cm
Question
13
13.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 17 cm, then area of the triangle =
(i)
119.50 sq.cm
(ii)
127.50 sq.cm
(iii)
144.50 sq.cm
(iv)
156.50 sq.cm
(v)
168.50 sq.cm
Question
14
14.
In an isosceles triangle △ABC, if base BC = 18 cm and the corresponding height is 7.94 cm, then area of the triangle =
(i)
76.44 sq.cm
(ii)
66.44 sq.cm
(iii)
74.44 sq.cm
(iv)
68.44 sq.cm
(v)
71.44 sq.cm
Question
15
15.
In trapezium ABCD, if distance between the parallel sides is 10.25 cm and lengths of the parallel sides AB = 20.00 cm and CD = 14.00 cm, then area of the trapezium =
(i)
148.25 sq.cm
(ii)
157.25 sq.cm
(iii)
189.25 sq.cm
(iv)
174.25 sq.cm
(v)
188.25 sq.cm
Question
16
16.
Consider the following parallelograms. Which two parallelograms have the same area?
(i)
EFGH and QRST
(ii)
EFGH and MNOP
(iii)
MNOP and QRST
(iv)
ABCD and QRST
(v)
ABCD and EFGH
Question
17
17.
In a right angled triangle △PQR, if QR = 12 cm, PQ = 18 cm are the lengths of perpendicular sides , then area of the triangle =
(i)
124.00 sq.cm
(ii)
94.00 sq.cm
(iii)
120.00 sq.cm
(iv)
91.00 sq.cm
(v)
108.00 sq.cm
Question
18
18.
Consider the following triangles. Which two triangles have the same area?
(i)
△EFG and △HIJ
(ii)
△EFG and △KLM
(iii)
△BCD and △KLM
(iv)
△BCD and △EFG
(v)
△BCD and △HIJ
Question
19
19.
In a right angled triangle △PQR, if the base QR = 15 cm and the corresponding height is 10 cm, then area of the triangle =
(i)
78.00 sq.cm
(ii)
75.00 sq.cm
(iii)
80.00 sq.cm
(iv)
72.00 sq.cm
(v)
70.00 sq.cm
Question
20
20.
In trapezium ABCD, if distance between the parallel sides is 10.85 cm and lengths of the parallel sides AB = 16.00 cm and CD = 6.00 cm, then area of the trapezium =
(i)
145.35 sq.cm
(ii)
131.35 sq.cm
(iii)
114.35 sq.cm
(iv)
119.35 sq.cm
(v)
102.35 sq.cm
Question
21
21.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 16 cm, then area of the triangle =
(i)
128.00 sq.cm
(ii)
150.00 sq.cm
(iii)
122.00 sq.cm
(iv)
143.00 sq.cm
(v)
102.00 sq.cm
Question
22
22.
In △PQR, if QR = 18 cm, RP = 12 cm and the corresponding height of side QR = 10.46 cm, then area of the triangle =
(i)
94.10 sq.cm
(ii)
91.10 sq.cm
(iii)
99.10 sq.cm
(iv)
89.10 sq.cm
(v)
97.10 sq.cm
Question
23
23.
In an isosceles right angled triangle △PQR, if QR = 14 cm is one of the equal sides, then area of the triangle =
(i)
93.00 sq.cm
(ii)
95.00 sq.cm
(iii)
98.00 sq.cm
(iv)
103.00 sq.cm
(v)
101.00 sq.cm
Question
24
24.
In a right angled triangle △PQR, if QR = 20 cm is one of the perpendicular sides and RP = 22.83 cm is the hypotenuse, then area of the triangle =
(i)
110.00 sq.cm
(ii)
132.00 sq.cm
(iii)
107.00 sq.cm
(iv)
114.00 sq.cm
(v)
87.00 sq.cm
Question
25
25.
In △PQR, if base QR = 20 cm and the corresponding height of side QR = 15.54 cm, then area of the triangle =
(i)
155.45 sq.cm
(ii)
168.45 sq.cm
(iii)
140.45 sq.cm
(iv)
143.45 sq.cm
(v)
161.45 sq.cm
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (iv)
5) (ii)
6) (iii)
7) (v)
8) (iii)
9) (iii)
10) (v)
11) (i)
12) (i)
13) (iii)
14) (v)
15) (iv)
16) (ii)
17) (v)
18) (iii)
19) (ii)
20) (iv)
21) (i)
22) (i)
23) (iii)
24) (i)
25) (i)