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)