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 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
2
2.
In a right angled triangle △PQR, if QR = 10 cm, PQ = 16 cm are the lengths of perpendicular sides , then area of the triangle =
(i)
83.00 sq.cm
(ii)
85.00 sq.cm
(iii)
77.00 sq.cm
(iv)
75.00 sq.cm
(v)
80.00 sq.cm
Question
3
3.
Consider the following triangles. Which two triangles have the same area?
(i)
△QAB and △MAB
(ii)
△NAB and △QAB
(iii)
△NAB and △MAB
(iv)
△QAB and △PAB
(v)
△NAB and △PAB
Question
4
4.
In an isosceles triangle △ABC, if base BC = 12 cm and the corresponding height is 16.97 cm, then area of the triangle =
(i)
101.82 sq.cm
(ii)
106.82 sq.cm
(iii)
78.82 sq.cm
(iv)
119.82 sq.cm
(v)
83.82 sq.cm
Question
5
5.
In a right angled triangle △PQR, if QR = 10 cm, PQ = 12 cm are the lengths of perpendicular sides , then area of the triangle =
(i)
55.00 sq.cm
(ii)
57.00 sq.cm
(iii)
60.00 sq.cm
(iv)
63.00 sq.cm
(v)
65.00 sq.cm
Question
6
6.
In trapezium ABCD, if distance between the parallel sides is 9.92 cm and lengths of the parallel sides AB = 18.00 cm and CD = 10.00 cm, then area of the trapezium =
(i)
150.88 sq.cm
(ii)
138.88 sq.cm
(iii)
113.88 sq.cm
(iv)
162.88 sq.cm
(v)
121.88 sq.cm
Question
7
7.
In rhombus PQRS, if diagonals QS = 17.00 cm and PR = 13.96 cm, the area of the rhombus =
(i)
100.66 sq.cm
(ii)
142.66 sq.cm
(iii)
92.66 sq.cm
(iv)
118.66 sq.cm
(v)
131.66 sq.cm
Question
8
8.
In parallelogram PQRS, if base PQ = 15.00 cm and the corresponding height is 12.00 cm, then area of the parallelogram =
(i)
174.00 sq.cm
(ii)
198.00 sq.cm
(iii)
180.00 sq.cm
(iv)
166.00 sq.cm
(v)
187.00 sq.cm
Question
9
9.
In △PQR, if QR = 20 cm, RP = 11 cm and the corresponding height of side QR = 10.58 cm, then area of the triangle =
(i)
87.76 sq.cm
(ii)
82.76 sq.cm
(iii)
105.76 sq.cm
(iv)
110.76 sq.cm
(v)
121.76 sq.cm
Question
10
10.
In an isosceles right angled triangle △PQR, if QR = 13 cm is one of the equal sides, then area of the triangle =
(i)
87.50 sq.cm
(ii)
79.50 sq.cm
(iii)
81.50 sq.cm
(iv)
84.50 sq.cm
(v)
89.50 sq.cm
Question
11
11.
In an isosceles right angled triangle △PQR, if QR = 17 cm is one of the equal sides, then area of the triangle =
(i)
144.50 sq.cm
(ii)
167.50 sq.cm
(iii)
128.50 sq.cm
(iv)
122.50 sq.cm
(v)
159.50 sq.cm
Question
12
12.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 15 cm, then area of the triangle =
(i)
100.50 sq.cm
(ii)
129.50 sq.cm
(iii)
112.50 sq.cm
(iv)
97.50 sq.cm
(v)
126.50 sq.cm
Question
13
13.
In trapezium ABCD, if distance between the parallel sides is 6.50 cm and lengths of the parallel sides AB = 20.00 cm and CD = 11.00 cm, then area of the trapezium =
(i)
100.75 sq.cm
(ii)
105.75 sq.cm
(iii)
118.75 sq.cm
(iv)
76.75 sq.cm
(v)
82.75 sq.cm
Question
14
14.
In a right angled triangle △PQR, if QR = 12 cm is one of the perpendicular sides and RP = 23.32 cm is the hypotenuse, then area of the triangle =
(i)
120.00 sq.cm
(ii)
96.00 sq.cm
(iii)
134.00 sq.cm
(iv)
118.00 sq.cm
(v)
137.00 sq.cm
Question
15
15.
In rhombus PQRS, if diagonals QS = 20.00 cm and PR = 32.31 cm, the area of the rhombus =
(i)
305.10 sq.cm
(ii)
323.10 sq.cm
(iii)
330.10 sq.cm
(iv)
348.10 sq.cm
Question
16
16.
Consider the following triangles. Which two triangles have the same area?
(i)
△DEF and △GHI
(ii)
△ABC and △DEF
(iii)
△ABC and △JKL
(iv)
△ABC and △GHI
(v)
△DEF and △JKL
Question
17
17.
In a right angled triangle △PQR, if the base QR = 18 cm and the corresponding height is 14 cm, then area of the triangle =
(i)
154.00 sq.cm
(ii)
126.00 sq.cm
(iii)
109.00 sq.cm
(iv)
138.00 sq.cm
(v)
112.00 sq.cm
Question
18
18.
Consider the following triangles. Which two triangles have the same area?
(i)
△MAB and △NAB
(ii)
△OAB and △NAB
(iii)
△OAB and △TAB
(iv)
△OAB and △MAB
(v)
△MAB and △TAB
Question
19
19.
Consider the following triangles. Which two triangles have the same area?
(i)
△DEF and △JKL
(ii)
△DEF and △GHI
(iii)
△ABC and △GHI
(iv)
△ABC and △DEF
(v)
△ABC and △JKL
Question
20
20.
Consider the following parallelograms. Which two parallelograms have the same area?
(i)
EFGH and MNOP
(ii)
MNOP and QRST
(iii)
ABCD and QRST
(iv)
EFGH and QRST
(v)
ABCD and EFGH
Question
21
21.
In a right angled triangle △PQR, if QR = 13 cm is one of the perpendicular sides and RP = 22.2 cm is the hypotenuse, then area of the triangle =
(i)
114.00 sq.cm
(ii)
122.00 sq.cm
(iii)
117.00 sq.cm
(iv)
135.00 sq.cm
(v)
101.00 sq.cm
Question
22
22.
In △PQR, if base QR = 12 cm and the corresponding height of side QR = 14.83 cm, then area of the triangle =
(i)
93.99 sq.cm
(ii)
85.99 sq.cm
(iii)
91.99 sq.cm
(iv)
83.99 sq.cm
(v)
88.99 sq.cm
Question
23
23.
In △PQR, if base QR = 12 cm and the corresponding height of side QR = 9.43 cm, then area of the triangle =
(i)
53.57 sq.cm
(ii)
59.57 sq.cm
(iii)
51.57 sq.cm
(iv)
61.57 sq.cm
(v)
56.57 sq.cm
Question
24
24.
In an isosceles triangle △ABC, if BC = 13 cm, AB = CA = 18 cm, then area of the triangle =
(i)
109.11 sq.cm
(ii)
124.11 sq.cm
(iii)
117.11 sq.cm
(iv)
83.11 sq.cm
(v)
106.11 sq.cm
Question
25
25.
In an isosceles triangle △ABC, if base BC = 16 cm and the corresponding height is 12.69 cm, then area of the triangle =
(i)
99.51 sq.cm
(ii)
79.51 sq.cm
(iii)
114.51 sq.cm
(iv)
101.51 sq.cm
Assignment Key
1) (i)
2) (v)
3) (ii)
4) (i)
5) (iii)
6) (ii)
7) (iv)
8) (iii)
9) (iii)
10) (iv)
11) (i)
12) (iii)
13) (i)
14) (i)
15) (ii)
16) (iii)
17) (ii)
18) (iv)
19) (v)
20) (i)
21) (iii)
22) (v)
23) (v)
24) (i)
25) (iv)
