EduSahara™ Assignment
Name : Perimeter and Area of Quadrilaterals
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
If the side of a square is 10.00 cm, the perimeter of the square =
  • (i)
    40.00 cm
  • (ii)
    45.00 cm
  • (iii)
    35.00 cm
  • (iv)
    43.00 cm
  • (v)
    37.00 cm
Question 2
2.
If the side of a square is 12.00 cm, the area of the square =
  • (i)
    159.00 sq.cm
  • (ii)
    142.00 sq.cm
  • (iii)
    144.00 sq.cm
  • (iv)
    117.00 sq.cm
  • (v)
    150.00 sq.cm
Question 3
3.
If the area of a square is 169.00 sq.cm, the perimeter of the square =
  • (i)
    47.00 cm
  • (ii)
    57.00 cm
  • (iii)
    52.00 cm
  • (iv)
    55.00 cm
  • (v)
    49.00 cm
Question 4
4.
If the length of the diagonal of a square is 16.97 cm, the perimeter of the square =
  • (i)
    43.00 cm
  • (ii)
    51.00 cm
  • (iii)
    53.00 cm
  • (iv)
    48.00 cm
  • (v)
    45.00 cm
Question 5
5.
If the length of the diagonal of a square is 18.38 cm, the area of the square =
  • (i)
    169.00 sq.cm
  • (ii)
    151.00 sq.cm
  • (iii)
    196.00 sq.cm
  • (iv)
    167.00 sq.cm
  • (v)
    184.00 sq.cm
Question 6
6.
If the length and breadth of a rectangle are 15.00 cm and 14.00 cm respectively, the perimeter of the rectangle =
  • (i)
    58.00 cm
  • (ii)
    61.00 cm
  • (iii)
    53.00 cm
  • (iv)
    55.00 cm
  • (v)
    63.00 cm
Question 7
7.
If the length and breadth of a rectangle are 16.00 cm and 12.00 cm respectively, the area of the rectangle =
  • (i)
    176.00 sq.cm
  • (ii)
    164.00 sq.cm
  • (iii)
    199.00 sq.cm
  • (iv)
    192.00 sq.cm
  • (v)
    217.00 sq.cm
Question 8
8.
If the length and perimeter of a rectangle are 17.00 cm and 62.00 cm respectively, the area of the rectangle =
  • (i)
    254.00 sq.cm
  • (ii)
    223.00 sq.cm
  • (iii)
    250.00 sq.cm
  • (iv)
    212.00 sq.cm
  • (v)
    238.00 sq.cm
Question 9
9.
If the length and area of a rectangle are 13.00 cm and 91.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    45.00 cm
  • (ii)
    43.00 cm
  • (iii)
    37.00 cm
  • (iv)
    35.00 cm
  • (v)
    40.00 cm
Question 10
10.
If the length and diagonal of a rectangle are 14.00 cm and 16.12 cm respectively, the perimeter of the rectangle =
  • (i)
    49.00 cm
  • (ii)
    41.00 cm
  • (iii)
    47.00 cm
  • (iv)
    39.00 cm
  • (v)
    44.00 cm
Question 11
11.
If the breadth and perimeter of a rectangle are 12.00 cm and 52.00 cm respectively, the area of the rectangle =
  • (i)
    153.00 sq.cm
  • (ii)
    155.00 sq.cm
  • (iii)
    168.00 sq.cm
  • (iv)
    180.00 sq.cm
Question 12
12.
If the breadth and area of a rectangle are 8.00 cm and 152.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    49.00 cm
  • (ii)
    51.00 cm
  • (iii)
    59.00 cm
  • (iv)
    57.00 cm
  • (v)
    54.00 cm
Question 13
13.
In quadrilateral PQRS, if diagonal QS = 10.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 13.86 cm and 10.93 cm respectively, then area of the quadrilateral =
  • (i)
    115.95 sq.cm
  • (ii)
    111.95 sq.cm
  • (iii)
    138.95 sq.cm
  • (iv)
    123.95 sq.cm
  • (v)
    150.95 sq.cm
Question 14
14.
In trapezium ABCD, if distance between the parallel sides is 8.50 cm and lengths of the parallel sides AB = 20.00 cm and CD = 11.00 cm, then area of the trapezium =
  • (i)
    126.75 sq.cm
  • (ii)
    131.75 sq.cm
  • (iii)
    107.75 sq.cm
  • (iv)
    148.75 sq.cm
  • (v)
    143.75 sq.cm
Question 15
15.
In parallelogram PQRS, if base PQ = 19.00 cm and the corresponding height is 10.05 cm, then area of the parallelogram =
  • (i)
    176.95 sq.cm
  • (ii)
    165.95 sq.cm
  • (iii)
    202.95 sq.cm
  • (iv)
    190.95 sq.cm
  • (v)
    206.95 sq.cm
Question 16
16.
In rhombus PQRS, if diagonals QS = 12.00 cm and PR = 18.44 cm, the area of the rhombus =
  • (i)
    125.64 sq.cm
  • (ii)
    128.64 sq.cm
  • (iii)
    92.64 sq.cm
  • (iv)
    103.64 sq.cm
  • (v)
    110.64 sq.cm
Question 17
17.
In quadrilateral PQRS, if diagonal QS = 14.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 11.81 cm and 12.94 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    17.94 cm
  • (ii)
    12.94 cm
  • (iii)
    7.94 cm
  • (iv)
    9.94 cm
  • (v)
    15.94 cm
Question 18
18.
In quadrilateral PQRS, if diagonal QS = 20.00 cm, height of vertex P to the diagonal QS is 11.83 cm and area is 150.30 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    3.20 cm
  • (ii)
    2.20 cm
  • (iii)
    4.20 cm
  • (iv)
    1.20 cm
  • (v)
    5.20 cm
Question 19
19.
In quadrilateral PQRS, if area is 261.63 sq.cm, height of vertex P to the diagonal QS is 14.95 cm, and height of vertex R to the diagonal QS is 12.59 cm, then diagonal QS =
  • (i)
    22.00 cm
  • (ii)
    24.00 cm
  • (iii)
    14.00 cm
  • (iv)
    16.00 cm
  • (v)
    19.00 cm
Question 20
20.
In trapezium ABCD, if area is 170.66 sq.cm and lengths of the parallel sides are AB = 19.00 cm and CD = 12.00 cm, then distance between the parallel sides AB and CD =
  • (i)
    14.01 cm
  • (ii)
    8.01 cm
  • (iii)
    16.01 cm
  • (iv)
    6.01 cm
  • (v)
    11.01 cm
Question 21
21.
In trapezium ABCD, if one of the parallel sides AB = 19.00 cm and distance between parallel sides AB and CD is 11.54 cm and area is 167.33 sq.cm, then parallel side CD =
  • (i)
    10.00 cm
  • (ii)
    13.00 cm
  • (iii)
    15.00 cm
  • (iv)
    7.00 cm
  • (v)
    5.00 cm
Question 22
22.
In parallelogram PQRS, if base PQ = 15.00 cm and area is 182.40 sq.cm, the corresponding height to the base PQ is
  • (i)
    17.16 cm
  • (ii)
    12.16 cm
  • (iii)
    9.16 cm
  • (iv)
    15.16 cm
  • (v)
    7.16 cm
Question 23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 10.02 cm and area is 170.34 sq.cm, the base of the parallelogram PQ =
  • (i)
    12.00 cm
  • (ii)
    20.00 cm
  • (iii)
    14.00 cm
  • (iv)
    22.00 cm
  • (v)
    17.00 cm
Question 24
24.
In rhombus PQRS, if one of the diagonals QS = 12.00 cm and area is 165.00 sq.cm, the diagonal PR =
  • (i)
    27.50 cm
  • (ii)
    22.50 cm
  • (iii)
    30.50 cm
  • (iv)
    32.50 cm
  • (v)
    24.50 cm
Question 25
25.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    9137.50 sq.m
  • (ii)
    10437.50 sq.m
  • (iii)
    10637.50 sq.m
  • (iv)
    12237.50 sq.m
  • (v)
    12337.50 sq.m
Question 26
26.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    9030.00 sq.m
  • (ii)
    9250.00 sq.m
  • (iii)
    9510.00 sq.m
  • (iv)
    9200.00 sq.m
  • (v)
    9430.00 sq.m
Question 27
27.
In the given figure, the triangle inside the square is an isosceles triangle. Find the area of the shaded region
  • (i)
    136.00 sq.cm
  • (ii)
    162.00 sq.cm
  • (iii)
    174.00 sq.cm
  • (iv)
    187.00 sq.cm
  • (v)
    144.00 sq.cm
Question 28
28.
In the given figure, find the area of the shaded region
  • (i)
    150.00 sq.cm
  • (ii)
    138.00 sq.cm
  • (iii)
    153.00 sq.cm
  • (iv)
    175.00 sq.cm
  • (v)
    166.00 sq.cm
Question 29
29.
In the given figure, find the area of the shaded region
  • (i)
    315.00 sq.cm
  • (ii)
    293.00 sq.cm
  • (iii)
    328.00 sq.cm
  • (iv)
    311.00 sq.cm
  • (v)
    317.00 sq.cm
    Assignment Key
  •  1) (i)
  •  2) (iii)
  •  3) (iii)
  •  4) (iv)
  •  5) (i)
  •  6) (i)
  •  7) (iv)
  •  8) (v)
  •  9) (v)
  •  10) (v)
  •  11) (iii)
  •  12) (v)
  •  13) (iv)
  •  14) (ii)
  •  15) (iv)
  •  16) (v)
  •  17) (ii)
  •  18) (i)
  •  19) (v)
  •  20) (v)
  •  21) (i)
  •  22) (ii)
  •  23) (v)
  •  24) (i)
  •  25) (iii)
  •  26) (ii)
  •  27) (ii)
  •  28) (iii)
  •  29) (i)