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)
    △FGH and △IJK
  • (ii)
    △FGH and △LMN
  • (iii)
    △CDE and △FGH
  • (iv)
    △CDE and △IJK
  • (v)
    △CDE and △LMN
Question 2
2.
In trapezium ABCD, if distance between the parallel sides is 12.07 cm and lengths of the parallel sides AB = 16.00 cm and CD = 6.00 cm, then area of the trapezium =
  • (i)
    110.77 sq.cm
  • (ii)
    138.77 sq.cm
  • (iii)
    129.77 sq.cm
  • (iv)
    132.77 sq.cm
  • (v)
    155.77 sq.cm
Question 3
3.
In a right angled triangle △PQR, if the base QR = 18 cm and the corresponding height is 20 cm, then area of the triangle =
  • (i)
    192.00 sq.cm
  • (ii)
    203.00 sq.cm
  • (iii)
    177.00 sq.cm
  • (iv)
    180.00 sq.cm
  • (v)
    152.00 sq.cm
Question 4
4.
In a right angled triangle △PQR, if the base QR = 11 cm and the corresponding height is 10 cm, then area of the triangle =
  • (i)
    60.00 sq.cm
  • (ii)
    55.00 sq.cm
  • (iii)
    58.00 sq.cm
  • (iv)
    50.00 sq.cm
  • (v)
    52.00 sq.cm
Question 5
5.
In rhombus PQRS, if diagonals QS = 10.00 cm and PR = 24.00 cm, the area of the rhombus =
  • (i)
    106.00 sq.cm
  • (ii)
    128.00 sq.cm
  • (iii)
    147.00 sq.cm
  • (iv)
    105.00 sq.cm
  • (v)
    120.00 sq.cm
Question 6
6.
In trapezium ABCD, if distance between the parallel sides is 6.47 cm and lengths of the parallel sides AB = 19.00 cm and CD = 9.00 cm, then area of the trapezium =
  • (i)
    93.58 sq.cm
  • (ii)
    95.58 sq.cm
  • (iii)
    90.58 sq.cm
  • (iv)
    87.58 sq.cm
  • (v)
    85.58 sq.cm
Question 7
7.
In an isosceles triangle △ABC, if base BC = 13 cm and the corresponding height is 16.79 cm, then area of the triangle =
  • (i)
    84.11 sq.cm
  • (ii)
    122.11 sq.cm
  • (iii)
    137.11 sq.cm
  • (iv)
    105.11 sq.cm
  • (v)
    109.11 sq.cm
Question 8
8.
In △PQR, if QR = 15 cm, RP = 16 cm and the corresponding height of side QR = 13.53 cm, then area of the triangle =
  • (i)
    88.51 sq.cm
  • (ii)
    119.51 sq.cm
  • (iii)
    101.51 sq.cm
  • (iv)
    77.51 sq.cm
  • (v)
    126.51 sq.cm
Question 9
9.
Consider the following parallelograms. Which two parallelograms have the same area?
  • (i)
    MNOP and QRST
  • (ii)
    ABCD and EFGH
  • (iii)
    ABCD and QRST
  • (iv)
    EFGH and MNOP
  • (v)
    EFGH and QRST
Question 10
10.
In a right angled triangle △PQR, if QR = 10 cm is one of the perpendicular sides and RP = 19.72 cm is the hypotenuse, then area of the triangle =
  • (i)
    85.00 sq.cm
  • (ii)
    80.00 sq.cm
  • (iii)
    82.00 sq.cm
  • (iv)
    88.00 sq.cm
  • (v)
    90.00 sq.cm
Question 11
11.
In an isosceles right angled triangle △PQR, if QR = 19 cm is one of the equal sides, then area of the triangle =
  • (i)
    180.50 sq.cm
  • (ii)
    193.50 sq.cm
  • (iii)
    168.50 sq.cm
  • (iv)
    164.50 sq.cm
Question 12
12.
Consider the following triangles. Which two triangles have the same area?
  • (i)
    △NAB and △TAB
  • (ii)
    △RAB and △TAB
  • (iii)
    △NAB and △RAB
  • (iv)
    △NAB and △SAB
  • (v)
    △RAB and △SAB
Question 13
13.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 12 cm, then area of the triangle =
  • (i)
    72.00 sq.cm
  • (ii)
    75.00 sq.cm
  • (iii)
    67.00 sq.cm
  • (iv)
    69.00 sq.cm
  • (v)
    77.00 sq.cm
Question 14
14.
In an isosceles triangle △ABC, if BC = 20 cm, AB = CA = 12 cm, then area of the triangle =
  • (i)
    63.33 sq.cm
  • (ii)
    61.33 sq.cm
  • (iii)
    66.33 sq.cm
  • (iv)
    69.33 sq.cm
  • (v)
    71.33 sq.cm
Question 15
15.
Consider the following triangles. Which two triangles have the same area?
  • (i)
    △EFG and △NOP
  • (ii)
    △HIJ and △KLM
  • (iii)
    △HIJ and △NOP
  • (iv)
    △EFG and △KLM
  • (v)
    △EFG and △HIJ
Question 16
16.
In an isosceles triangle △ABC, if base BC = 20 cm and the corresponding height is 6.63 cm, then area of the triangle =
  • (i)
    69.33 sq.cm
  • (ii)
    66.33 sq.cm
  • (iii)
    61.33 sq.cm
  • (iv)
    71.33 sq.cm
  • (v)
    63.33 sq.cm
Question 17
17.
In a right angled triangle △PQR, if QR = 19 cm, PQ = 17 cm are the lengths of perpendicular sides , then area of the triangle =
  • (i)
    178.50 sq.cm
  • (ii)
    161.50 sq.cm
  • (iii)
    165.50 sq.cm
  • (iv)
    156.50 sq.cm
  • (v)
    134.50 sq.cm
Question 18
18.
In parallelogram PQRS, if base PQ = 14.00 cm and the corresponding height is 14.59 cm, then area of the parallelogram =
  • (i)
    197.26 sq.cm
  • (ii)
    204.26 sq.cm
  • (iii)
    226.26 sq.cm
  • (iv)
    190.26 sq.cm
  • (v)
    218.26 sq.cm
Question 19
19.
In △PQR, if base QR = 13 cm and the corresponding height of side QR = 17.27 cm, then area of the triangle =
  • (i)
    128.25 sq.cm
  • (ii)
    100.25 sq.cm
  • (iii)
    112.25 sq.cm
  • (iv)
    84.25 sq.cm
Question 20
20.
In a right angled triangle △PQR, if QR = 18 cm is one of the perpendicular sides and RP = 26.91 cm is the hypotenuse, then area of the triangle =
  • (i)
    194.00 sq.cm
  • (ii)
    180.00 sq.cm
  • (iii)
    178.00 sq.cm
  • (iv)
    155.00 sq.cm
  • (v)
    198.00 sq.cm
Question 21
21.
In an isosceles right angled triangle △PQR, if QR = 15 cm is one of the equal sides, then area of the triangle =
  • (i)
    96.50 sq.cm
  • (ii)
    124.50 sq.cm
  • (iii)
    105.50 sq.cm
  • (iv)
    112.50 sq.cm
  • (v)
    137.50 sq.cm
Question 22
22.
In an isosceles triangle △ABC, if BC = 14 cm, AB = CA = 19 cm, then area of the triangle =
  • (i)
    123.64 sq.cm
  • (ii)
    131.64 sq.cm
  • (iii)
    147.64 sq.cm
  • (iv)
    96.64 sq.cm
  • (v)
    110.64 sq.cm
Question 23
23.
In parallelogram PQRS, if base PQ = 15.00 cm and the corresponding height is 12.95 cm, then area of the parallelogram =
  • (i)
    199.25 sq.cm
  • (ii)
    176.25 sq.cm
  • (iii)
    170.25 sq.cm
  • (iv)
    207.25 sq.cm
  • (v)
    194.25 sq.cm
Question 24
24.
In a right angled triangle △PQR, if QR = 17 cm, PQ = 18 cm are the lengths of perpendicular sides , then area of the triangle =
  • (i)
    130.00 sq.cm
  • (ii)
    165.00 sq.cm
  • (iii)
    137.00 sq.cm
  • (iv)
    153.00 sq.cm
  • (v)
    166.00 sq.cm
Question 25
25.
In △PQR, if base QR = 19 cm and the corresponding height of side QR = 9.87 cm, then area of the triangle =
  • (i)
    90.77 sq.cm
  • (ii)
    98.77 sq.cm
  • (iii)
    88.77 sq.cm
  • (iv)
    96.77 sq.cm
  • (v)
    93.77 sq.cm
    Assignment Key

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