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 15.00 cm, the perimeter of the square =
  • (i)
    63.00 cm
  • (ii)
    65.00 cm
  • (iii)
    57.00 cm
  • (iv)
    60.00 cm
  • (v)
    55.00 cm
Question 2
2.
If the side of a square is 11.00 cm, the area of the square =
  • (i)
    106.00 sq.cm
  • (ii)
    121.00 sq.cm
  • (iii)
    147.00 sq.cm
  • (iv)
    134.00 sq.cm
  • (v)
    99.00 sq.cm
Question 3
3.
If the area of a square is 144.00 sq.cm, the perimeter of the square =
  • (i)
    43.00 cm
  • (ii)
    48.00 cm
  • (iii)
    45.00 cm
  • (iv)
    53.00 cm
  • (v)
    51.00 cm
Question 4
4.
If the length of the diagonal of a square is 22.62 cm, the perimeter of the square =
  • (i)
    67.00 cm
  • (ii)
    69.00 cm
  • (iii)
    64.00 cm
  • (iv)
    61.00 cm
  • (v)
    59.00 cm
Question 5
5.
If the length of the diagonal of a square is 25.45 cm, the area of the square =
  • (i)
    336.00 sq.cm
  • (ii)
    340.00 sq.cm
  • (iii)
    324.00 sq.cm
  • (iv)
    297.00 sq.cm
  • (v)
    310.00 sq.cm
Question 6
6.
If the length and breadth of a rectangle are 19.00 cm and 11.00 cm respectively, the perimeter of the rectangle =
  • (i)
    63.00 cm
  • (ii)
    65.00 cm
  • (iii)
    57.00 cm
  • (iv)
    60.00 cm
  • (v)
    55.00 cm
Question 7
7.
If the length and breadth of a rectangle are 6.00 cm and 5.00 cm respectively, the area of the rectangle =
  • (i)
    30.00 sq.cm
  • (ii)
    33.00 sq.cm
  • (iii)
    25.00 sq.cm
  • (iv)
    27.00 sq.cm
  • (v)
    35.00 sq.cm
Question 8
8.
If the length and perimeter of a rectangle are 18.00 cm and 70.00 cm respectively, the area of the rectangle =
  • (i)
    292.00 sq.cm
  • (ii)
    291.00 sq.cm
  • (iii)
    323.00 sq.cm
  • (iv)
    308.00 sq.cm
  • (v)
    306.00 sq.cm
Question 9
9.
If the length and area of a rectangle are 19.00 cm and 190.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    63.00 cm
  • (ii)
    53.00 cm
  • (iii)
    58.00 cm
  • (iv)
    55.00 cm
  • (v)
    61.00 cm
Question 10
10.
If the length and diagonal of a rectangle are 14.00 cm and 17.80 cm respectively, the perimeter of the rectangle =
  • (i)
    53.00 cm
  • (ii)
    55.00 cm
  • (iii)
    50.00 cm
  • (iv)
    45.00 cm
  • (v)
    47.00 cm
Question 11
11.
If the breadth and perimeter of a rectangle are 8.00 cm and 42.00 cm respectively, the area of the rectangle =
  • (i)
    88.00 sq.cm
  • (ii)
    120.00 sq.cm
  • (iii)
    132.00 sq.cm
  • (iv)
    104.00 sq.cm
  • (v)
    92.00 sq.cm
Question 12
12.
If the breadth and area of a rectangle are 15.00 cm and 285.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    73.00 cm
  • (ii)
    68.00 cm
  • (iii)
    65.00 cm
  • (iv)
    71.00 cm
  • (v)
    63.00 cm
Question 13
13.
In quadrilateral PQRS, if diagonal QS = 19.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 7.33 cm and 9.58 cm respectively, then area of the quadrilateral =
  • (i)
    186.64 sq.cm
  • (ii)
    160.64 sq.cm
  • (iii)
    144.64 sq.cm
  • (iv)
    177.64 sq.cm
  • (v)
    153.64 sq.cm
Question 14
14.
In trapezium ABCD, if distance between the parallel sides is 5.40 cm and lengths of the parallel sides AB = 18.00 cm and CD = 6.00 cm, then area of the trapezium =
  • (i)
    69.80 sq.cm
  • (ii)
    59.80 sq.cm
  • (iii)
    61.80 sq.cm
  • (iv)
    67.80 sq.cm
  • (v)
    64.80 sq.cm
Question 15
15.
In parallelogram PQRS, if base PQ = 20.00 cm and the corresponding height is 11.83 cm, then area of the parallelogram =
  • (i)
    252.60 sq.cm
  • (ii)
    233.60 sq.cm
  • (iii)
    248.60 sq.cm
  • (iv)
    236.60 sq.cm
  • (v)
    218.60 sq.cm
Question 16
16.
In rhombus PQRS, if diagonals QS = 16.00 cm and PR = 22.98 cm, the area of the rhombus =
  • (i)
    165.84 sq.cm
  • (ii)
    208.84 sq.cm
  • (iii)
    160.84 sq.cm
  • (iv)
    183.84 sq.cm
  • (v)
    189.84 sq.cm
Question 17
17.
In quadrilateral PQRS, if diagonal QS = 19.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 10.79 cm and 14.51 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    14.51 cm
  • (ii)
    17.51 cm
  • (iii)
    9.51 cm
  • (iv)
    11.51 cm
  • (v)
    19.51 cm
Question 18
18.
In quadrilateral PQRS, if diagonal QS = 15.00 cm, height of vertex P to the diagonal QS is 8.70 cm and area is 144.15 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    13.52 cm
  • (ii)
    10.52 cm
  • (iii)
    7.52 cm
  • (iv)
    15.52 cm
  • (v)
    5.52 cm
Question 19
19.
In quadrilateral PQRS, if area is 230.90 sq.cm, height of vertex P to the diagonal QS is 12.71 cm, and height of vertex R to the diagonal QS is 10.38 cm, then diagonal QS =
  • (i)
    23.00 cm
  • (ii)
    20.00 cm
  • (iii)
    17.00 cm
  • (iv)
    15.00 cm
  • (v)
    25.00 cm
Question 20
20.
In trapezium ABCD, if area is 146.59 sq.cm and lengths of the parallel sides are AB = 18.00 cm and CD = 11.00 cm, then distance between the parallel sides AB and CD =
  • (i)
    15.11 cm
  • (ii)
    7.11 cm
  • (iii)
    5.11 cm
  • (iv)
    13.11 cm
  • (v)
    10.11 cm
Question 21
21.
In trapezium ABCD, if one of the parallel sides AB = 18.00 cm and distance between parallel sides AB and CD is 10.05 cm and area is 125.63 sq.cm, then parallel side CD =
  • (i)
    9.00 cm
  • (ii)
    7.00 cm
  • (iii)
    6.00 cm
  • (iv)
    5.00 cm
  • (v)
    8.00 cm
Question 22
22.
In parallelogram PQRS, if base PQ = 10.00 cm and area is 156.50 sq.cm, the corresponding height to the base PQ is
  • (i)
    12.65 cm
  • (ii)
    18.65 cm
  • (iii)
    15.65 cm
  • (iv)
    10.65 cm
  • (v)
    20.65 cm
Question 23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 11.05 cm and area is 187.85 sq.cm, the base of the parallelogram PQ =
  • (i)
    12.00 cm
  • (ii)
    22.00 cm
  • (iii)
    17.00 cm
  • (iv)
    14.00 cm
  • (v)
    20.00 cm
Question 24
24.
In rhombus PQRS, if one of the diagonals QS = 16.00 cm and area is 163.92 sq.cm, the diagonal PR =
  • (i)
    17.49 cm
  • (ii)
    20.49 cm
  • (iii)
    15.49 cm
  • (iv)
    23.49 cm
  • (v)
    25.49 cm
Question 25
25.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    12500.00 sq.m
  • (ii)
    10800.00 sq.m
  • (iii)
    9200.00 sq.m
  • (iv)
    13000.00 sq.m
  • (v)
    9100.00 sq.m
Question 26
26.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    10250.00 sq.m
  • (ii)
    8650.00 sq.m
  • (iii)
    12750.00 sq.m
  • (iv)
    11950.00 sq.m
  • (v)
    10050.00 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)
    200.00 sq.cm
  • (ii)
    215.00 sq.cm
  • (iii)
    172.00 sq.cm
  • (iv)
    206.00 sq.cm
  • (v)
    183.00 sq.cm
Question 28
28.
In the given figure, find the area of the shaded region
  • (i)
    166.00 sq.cm
  • (ii)
    183.00 sq.cm
  • (iii)
    190.00 sq.cm
  • (iv)
    218.00 sq.cm
  • (v)
    206.00 sq.cm
Question 29
29.
In the given figure, find the area of the shaded region
  • (i)
    84.00 sq.cm
  • (ii)
    87.00 sq.cm
  • (iii)
    89.00 sq.cm
  • (iv)
    81.00 sq.cm
  • (v)
    79.00 sq.cm
    Assignment Key
  •  1) (iv)
  •  2) (ii)
  •  3) (ii)
  •  4) (iii)
  •  5) (iii)
  •  6) (iv)
  •  7) (i)
  •  8) (v)
  •  9) (iii)
  •  10) (iii)
  •  11) (iv)
  •  12) (ii)
  •  13) (ii)
  •  14) (v)
  •  15) (iv)
  •  16) (iv)
  •  17) (i)
  •  18) (ii)
  •  19) (ii)
  •  20) (v)
  •  21) (ii)
  •  22) (iii)
  •  23) (iii)
  •  24) (ii)
  •  25) (ii)
  •  26) (i)
  •  27) (i)
  •  28) (iii)
  •  29) (i)