EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Areas of Parallelograms and Triangles
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
In an isosceles right angled triangle △PQR, if QR = 10 cm is one of the equal sides, then area of the triangle =
  • (i)
    47.00 sq.cm
  • (ii)
    45.00 sq.cm
  • (iii)
    53.00 sq.cm
  • (iv)
    55.00 sq.cm
  • (v)
    50.00 sq.cm
Question 2
2.
In rhombus PQRS, if diagonals QS = 15.00 cm and PR = 18.73 cm, the area of the rhombus =
  • (i)
    158.47 sq.cm
  • (ii)
    137.47 sq.cm
  • (iii)
    140.47 sq.cm
  • (iv)
    156.47 sq.cm
  • (v)
    123.47 sq.cm
Question 3
3.
Consider the following triangles. Which two triangles have the same area?
  • (i)
    △DEF and △JKL
  • (ii)
    △GHI and △MNO
  • (iii)
    △DEF and △GHI
  • (iv)
    △DEF and △MNO
  • (v)
    △GHI and △JKL
Question 4
4.
In an isosceles triangle △ABC, if BC = 11 cm, AB = CA = 10 cm, then area of the triangle =
  • (i)
    40.93 sq.cm
  • (ii)
    48.93 sq.cm
  • (iii)
    50.93 sq.cm
  • (iv)
    42.93 sq.cm
  • (v)
    45.93 sq.cm
Question 5
5.
In a right angled triangle △PQR, if QR = 17 cm, PQ = 11 cm are the lengths of perpendicular sides , then area of the triangle =
  • (i)
    90.50 sq.cm
  • (ii)
    93.50 sq.cm
  • (iii)
    88.50 sq.cm
  • (iv)
    98.50 sq.cm
  • (v)
    96.50 sq.cm
Question 6
6.
In trapezium ABCD, if distance between the parallel sides is 8.66 cm and lengths of the parallel sides AB = 16.00 cm and CD = 8.00 cm, then area of the trapezium =
  • (i)
    118.92 sq.cm
  • (ii)
    103.92 sq.cm
  • (iii)
    89.92 sq.cm
  • (iv)
    91.92 sq.cm
  • (v)
    125.92 sq.cm
Question 7
7.
In parallelogram PQRS, if base PQ = 10.00 cm and the corresponding height is 14.89 cm, then area of the parallelogram =
  • (i)
    126.90 sq.cm
  • (ii)
    148.90 sq.cm
  • (iii)
    146.90 sq.cm
  • (iv)
    151.90 sq.cm
  • (v)
    163.90 sq.cm
Question 8
8.
In △PQR, if QR = 11 cm, RP = 16 cm and the corresponding height of side QR = 12.91 cm, then area of the triangle =
  • (i)
    73.99 sq.cm
  • (ii)
    67.99 sq.cm
  • (iii)
    65.99 sq.cm
  • (iv)
    70.99 sq.cm
  • (v)
    75.99 sq.cm
Question 9
9.
In an isosceles triangle △ABC, if BC = 16 cm, AB = CA = 14 cm, then area of the triangle =
  • (i)
    86.91 sq.cm
  • (ii)
    94.91 sq.cm
  • (iii)
    96.91 sq.cm
  • (iv)
    88.91 sq.cm
  • (v)
    91.91 sq.cm
Question 10
10.
Consider the following parallelograms. Which two parallelograms have the same area?
  • (i)
    ABCD and QRST
  • (ii)
    EFGH and MNOP
  • (iii)
    ABCD and EFGH
  • (iv)
    EFGH and QRST
  • (v)
    MNOP and QRST
Question 11
11.
In a right angled triangle △PQR, if the base QR = 14 cm and the corresponding height is 15 cm, then area of the triangle =
  • (i)
    105.00 sq.cm
  • (ii)
    90.00 sq.cm
  • (iii)
    92.00 sq.cm
  • (iv)
    107.00 sq.cm
  • (v)
    129.00 sq.cm
Question 12
12.
In an isosceles right angled triangle △PQR, if QR = 20 cm is one of the equal sides, then area of the triangle =
  • (i)
    214.00 sq.cm
  • (ii)
    200.00 sq.cm
  • (iii)
    197.00 sq.cm
  • (iv)
    228.00 sq.cm
  • (v)
    177.00 sq.cm
Question 13
13.
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 14
14.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 10 cm, then area of the triangle =
  • (i)
    47.00 sq.cm
  • (ii)
    45.00 sq.cm
  • (iii)
    55.00 sq.cm
  • (iv)
    53.00 sq.cm
  • (v)
    50.00 sq.cm
Question 15
15.
In trapezium ABCD, if distance between the parallel sides is 8.11 cm and lengths of the parallel sides AB = 16.00 cm and CD = 9.00 cm, then area of the trapezium =
  • (i)
    83.38 sq.cm
  • (ii)
    101.38 sq.cm
  • (iii)
    94.38 sq.cm
  • (iv)
    106.38 sq.cm
  • (v)
    115.38 sq.cm
Question 16
16.
In a right angled triangle △PQR, if QR = 16 cm, PQ = 19 cm are the lengths of perpendicular sides , then area of the triangle =
  • (i)
    140.00 sq.cm
  • (ii)
    154.00 sq.cm
  • (iii)
    152.00 sq.cm
  • (iv)
    127.00 sq.cm
  • (v)
    179.00 sq.cm
Question 17
17.
In △PQR, if base QR = 13 cm and the corresponding height of side QR = 15 cm, then area of the triangle =
  • (i)
    97.49 sq.cm
  • (ii)
    94.49 sq.cm
  • (iii)
    92.49 sq.cm
  • (iv)
    102.49 sq.cm
  • (v)
    100.49 sq.cm
Question 18
18.
Consider the following triangles. Which two triangles have the same area?
  • (i)
    △TAB and △SAB
  • (ii)
    △MAB and △PAB
  • (iii)
    △MAB and △TAB
  • (iv)
    △TAB and △PAB
  • (v)
    △MAB and △SAB
Question 19
19.
In a right angled triangle △PQR, if QR = 18 cm is one of the perpendicular sides and RP = 21.63 cm is the hypotenuse, then area of the triangle =
  • (i)
    86.00 sq.cm
  • (ii)
    126.00 sq.cm
  • (iii)
    122.00 sq.cm
  • (iv)
    102.00 sq.cm
  • (v)
    108.00 sq.cm
Question 20
20.
In a right angled triangle △PQR, if the base QR = 19 cm and the corresponding height is 15 cm, then area of the triangle =
  • (i)
    128.50 sq.cm
  • (ii)
    116.50 sq.cm
  • (iii)
    157.50 sq.cm
  • (iv)
    142.50 sq.cm
  • (v)
    154.50 sq.cm
Question 21
21.
In an isosceles triangle △ABC, if base BC = 19 cm and the corresponding height is 12.87 cm, then area of the triangle =
  • (i)
    130.31 sq.cm
  • (ii)
    122.31 sq.cm
  • (iii)
    148.31 sq.cm
  • (iv)
    109.31 sq.cm
  • (v)
    117.31 sq.cm
Question 22
22.
In △PQR, if base QR = 10 cm and the corresponding height of side QR = 7.85 cm, then area of the triangle =
  • (i)
    36.23 sq.cm
  • (ii)
    42.23 sq.cm
  • (iii)
    44.23 sq.cm
  • (iv)
    34.23 sq.cm
  • (v)
    39.23 sq.cm
Question 23
23.
In △PQR, if QR = 13 cm, RP = 14 cm and the corresponding height of side QR = 9.6 cm, then area of the triangle =
  • (i)
    67.39 sq.cm
  • (ii)
    62.39 sq.cm
  • (iii)
    59.39 sq.cm
  • (iv)
    65.39 sq.cm
  • (v)
    57.39 sq.cm
Question 24
24.
In an isosceles triangle △ABC, if base BC = 20 cm and the corresponding height is 11.18 cm, then area of the triangle =
  • (i)
    86.80 sq.cm
  • (ii)
    107.80 sq.cm
  • (iii)
    127.80 sq.cm
  • (iv)
    111.80 sq.cm
  • (v)
    128.80 sq.cm
Question 25
25.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 14 cm, then area of the triangle =
  • (i)
    98.00 sq.cm
  • (ii)
    101.00 sq.cm
  • (iii)
    103.00 sq.cm
  • (iv)
    93.00 sq.cm
  • (v)
    95.00 sq.cm
    Assignment Key

  •  1) (v)
  •  2) (iii)
  •  3) (iv)
  •  4) (v)
  •  5) (ii)
  •  6) (ii)
  •  7) (ii)
  •  8) (iv)
  •  9) (v)
  •  10) (ii)
  •  11) (i)
  •  12) (ii)
  •  13) (i)
  •  14) (v)
  •  15) (ii)
  •  16) (iii)
  •  17) (i)
  •  18) (iii)
  •  19) (v)
  •  20) (iv)
  •  21) (ii)
  •  22) (v)
  •  23) (ii)
  •  24) (iv)
  •  25) (i)