EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Areas of Parallelograms and Triangles
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
In a right angled triangle △PQR, if QR = 13 cm, PQ = 16 cm are the lengths of perpendicular sides , then area of the triangle =
  • (i)
    117.00 sq.cm
  • (ii)
    78.00 sq.cm
  • (iii)
    104.00 sq.cm
  • (iv)
    89.00 sq.cm
  • (v)
    110.00 sq.cm
Question 2
2.
Consider the following parallelograms. Which two parallelograms have the same area?
  • (i)
    EFGH and MNOP
  • (ii)
    ABCD and EFGH
  • (iii)
    MNOP and QRST
  • (iv)
    ABCD and QRST
  • (v)
    EFGH and QRST
Question 3
3.
In rhombus PQRS, if diagonals QS = 18.00 cm and PR = 8.72 cm, the area of the rhombus =
  • (i)
    78.48 sq.cm
  • (ii)
    75.48 sq.cm
  • (iii)
    73.48 sq.cm
  • (iv)
    81.48 sq.cm
  • (v)
    83.48 sq.cm
Question 4
4.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 12 cm, then area of the triangle =
  • (i)
    69.00 sq.cm
  • (ii)
    72.00 sq.cm
  • (iii)
    77.00 sq.cm
  • (iv)
    67.00 sq.cm
  • (v)
    75.00 sq.cm
Question 5
5.
In △PQR, if QR = 14 cm, RP = 19 cm and the corresponding height of side QR = 15.67 cm, then area of the triangle =
  • (i)
    113.67 sq.cm
  • (ii)
    124.67 sq.cm
  • (iii)
    96.67 sq.cm
  • (iv)
    93.67 sq.cm
  • (v)
    109.67 sq.cm
Question 6
6.
In an isosceles triangle △ABC, if base BC = 19 cm and the corresponding height is 17.6 cm, then area of the triangle =
  • (i)
    145.20 sq.cm
  • (ii)
    150.20 sq.cm
  • (iii)
    190.20 sq.cm
  • (iv)
    185.20 sq.cm
  • (v)
    167.20 sq.cm
Question 7
7.
Consider the following triangles. Which two triangles have the same area?
  • (i)
    △HIJ and △KLM
  • (ii)
    △HIJ and △NOP
  • (iii)
    △EFG and △NOP
  • (iv)
    △EFG and △KLM
  • (v)
    △EFG and △HIJ
Question 8
8.
In parallelogram PQRS, if base PQ = 11.00 cm and the corresponding height is 14.43 cm, then area of the parallelogram =
  • (i)
    140.73 sq.cm
  • (ii)
    144.73 sq.cm
  • (iii)
    158.73 sq.cm
  • (iv)
    163.73 sq.cm
  • (v)
    175.73 sq.cm
Question 9
9.
In an isosceles right angled triangle △PQR, if QR = 14 cm is one of the equal sides, then area of the triangle =
  • (i)
    101.00 sq.cm
  • (ii)
    98.00 sq.cm
  • (iii)
    103.00 sq.cm
  • (iv)
    95.00 sq.cm
  • (v)
    93.00 sq.cm
Question 10
10.
In trapezium ABCD, if distance between the parallel sides is 11.82 cm and lengths of the parallel sides AB = 19.00 cm and CD = 11.00 cm, then area of the trapezium =
  • (i)
    180.30 sq.cm
  • (ii)
    164.30 sq.cm
  • (iii)
    203.30 sq.cm
  • (iv)
    155.30 sq.cm
  • (v)
    177.30 sq.cm
Question 11
11.
Consider the following triangles. Which two triangles have the same area?
  • (i)
    △MAB and △QAB
  • (ii)
    △RAB and △QAB
  • (iii)
    △RAB and △MAB
  • (iv)
    △MAB and △TAB
  • (v)
    △RAB and △TAB
Question 12
12.
In a right angled triangle △PQR, if the base QR = 11 cm and the corresponding height is 18 cm, then area of the triangle =
  • (i)
    99.00 sq.cm
  • (ii)
    104.00 sq.cm
  • (iii)
    96.00 sq.cm
  • (iv)
    102.00 sq.cm
  • (v)
    94.00 sq.cm
Question 13
13.
In an isosceles triangle △ABC, if base BC = 20 cm and the corresponding height is 13.75 cm, then area of the triangle =
  • (i)
    137.48 sq.cm
  • (ii)
    141.48 sq.cm
  • (iii)
    162.48 sq.cm
  • (iv)
    134.48 sq.cm
  • (v)
    125.48 sq.cm
Question 14
14.
In △PQR, if QR = 17 cm, RP = 18 cm and the corresponding height of side QR = 12.39 cm, then area of the triangle =
  • (i)
    78.30 sq.cm
  • (ii)
    120.30 sq.cm
  • (iii)
    92.30 sq.cm
  • (iv)
    109.30 sq.cm
  • (v)
    105.30 sq.cm
Question 15
15.
In an isosceles triangle △ABC, if BC = 12 cm, AB = CA = 19 cm, then area of the triangle =
  • (i)
    96.17 sq.cm
  • (ii)
    112.17 sq.cm
  • (iii)
    85.17 sq.cm
  • (iv)
    133.17 sq.cm
  • (v)
    108.17 sq.cm
Question 16
16.
Consider the following triangles. Which two triangles have the same area?
  • (i)
    △BCD and △HIJ
  • (ii)
    △BCD and △EFG
  • (iii)
    △EFG and △HIJ
  • (iv)
    △BCD and △KLM
  • (v)
    △EFG and △KLM
Question 17
17.
In trapezium ABCD, if distance between the parallel sides is 8.97 cm and lengths of the parallel sides AB = 20.00 cm and CD = 10.00 cm, then area of the trapezium =
  • (i)
    147.55 sq.cm
  • (ii)
    109.55 sq.cm
  • (iii)
    134.55 sq.cm
  • (iv)
    120.55 sq.cm
  • (v)
    162.55 sq.cm
Question 18
18.
In a right angled triangle △PQR, if the base QR = 13 cm and the corresponding height is 11 cm, then area of the triangle =
  • (i)
    68.50 sq.cm
  • (ii)
    66.50 sq.cm
  • (iii)
    71.50 sq.cm
  • (iv)
    76.50 sq.cm
  • (v)
    74.50 sq.cm
Question 19
19.
In an isosceles right angled triangle △PQR, if QR = 20 cm is one of the equal sides, then area of the triangle =
  • (i)
    174.00 sq.cm
  • (ii)
    203.00 sq.cm
  • (iii)
    200.00 sq.cm
  • (iv)
    212.00 sq.cm
  • (v)
    188.00 sq.cm
Question 20
20.
In an isosceles triangle △ABC, if BC = 19 cm, AB = CA = 20 cm, then area of the triangle =
  • (i)
    140.20 sq.cm
  • (ii)
    167.20 sq.cm
  • (iii)
    189.20 sq.cm
  • (iv)
    149.20 sq.cm
  • (v)
    183.20 sq.cm
Question 21
21.
In a right angled triangle △PQR, if QR = 16 cm is one of the perpendicular sides and RP = 24.08 cm is the hypotenuse, then area of the triangle =
  • (i)
    157.00 sq.cm
  • (ii)
    127.00 sq.cm
  • (iii)
    156.00 sq.cm
  • (iv)
    144.00 sq.cm
  • (v)
    139.00 sq.cm
Question 22
22.
In △PQR, if base QR = 14 cm and the corresponding height of side QR = 9.67 cm, then area of the triangle =
  • (i)
    62.71 sq.cm
  • (ii)
    64.71 sq.cm
  • (iii)
    70.71 sq.cm
  • (iv)
    72.71 sq.cm
  • (v)
    67.71 sq.cm
Question 23
23.
In rhombus PQRS, if diagonals QS = 19.00 cm and PR = 17.75 cm, the area of the rhombus =
  • (i)
    164.62 sq.cm
  • (ii)
    168.62 sq.cm
  • (iii)
    195.62 sq.cm
  • (iv)
    146.62 sq.cm
  • (v)
    181.62 sq.cm
Question 24
24.
In a right angled triangle △PQR, if QR = 14 cm, PQ = 13 cm are the lengths of perpendicular sides , then area of the triangle =
  • (i)
    96.00 sq.cm
  • (ii)
    86.00 sq.cm
  • (iii)
    91.00 sq.cm
  • (iv)
    94.00 sq.cm
  • (v)
    88.00 sq.cm
Question 25
25.
In parallelogram PQRS, if base PQ = 13.00 cm and the corresponding height is 9.99 cm, then area of the parallelogram =
  • (i)
    104.87 sq.cm
  • (ii)
    133.87 sq.cm
  • (iii)
    129.87 sq.cm
  • (iv)
    147.87 sq.cm
  • (v)
    122.87 sq.cm
    Assignment Key

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