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 11.00 cm, the perimeter of the square =
  • (i)
    39.00 cm
  • (ii)
    44.00 cm
  • (iii)
    47.00 cm
  • (iv)
    49.00 cm
  • (v)
    41.00 cm
Question 2
2.
If the side of a square is 12.00 cm, the area of the square =
  • (i)
    144.00 sq.cm
  • (ii)
    121.00 sq.cm
  • (iii)
    170.00 sq.cm
  • (iv)
    147.00 sq.cm
  • (v)
    136.00 sq.cm
Question 3
3.
If the area of a square is 196.00 sq.cm, the perimeter of the square =
  • (i)
    61.00 cm
  • (ii)
    51.00 cm
  • (iii)
    53.00 cm
  • (iv)
    56.00 cm
  • (v)
    59.00 cm
Question 4
4.
If the length of the diagonal of a square is 25.45 cm, the perimeter of the square =
  • (i)
    75.00 cm
  • (ii)
    72.00 cm
  • (iii)
    77.00 cm
  • (iv)
    69.00 cm
  • (v)
    67.00 cm
Question 5
5.
If the length of the diagonal of a square is 16.97 cm, the area of the square =
  • (i)
    131.00 sq.cm
  • (ii)
    159.00 sq.cm
  • (iii)
    128.00 sq.cm
  • (iv)
    144.00 sq.cm
  • (v)
    161.00 sq.cm
Question 6
6.
If the length and breadth of a rectangle are 18.00 cm and 15.00 cm respectively, the perimeter of the rectangle =
  • (i)
    66.00 cm
  • (ii)
    61.00 cm
  • (iii)
    71.00 cm
  • (iv)
    69.00 cm
  • (v)
    63.00 cm
Question 7
7.
If the length and breadth of a rectangle are 15.00 cm and 11.00 cm respectively, the area of the rectangle =
  • (i)
    165.00 sq.cm
  • (ii)
    143.00 sq.cm
  • (iii)
    159.00 sq.cm
  • (iv)
    180.00 sq.cm
  • (v)
    178.00 sq.cm
Question 8
8.
If the length and perimeter of a rectangle are 16.00 cm and 62.00 cm respectively, the area of the rectangle =
  • (i)
    226.00 sq.cm
  • (ii)
    255.00 sq.cm
  • (iii)
    240.00 sq.cm
  • (iv)
    258.00 sq.cm
Question 9
9.
If the length and area of a rectangle are 18.00 cm and 162.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    59.00 cm
  • (ii)
    57.00 cm
  • (iii)
    51.00 cm
  • (iv)
    49.00 cm
  • (v)
    54.00 cm
Question 10
10.
If the length and diagonal of a rectangle are 7.00 cm and 9.22 cm respectively, the perimeter of the rectangle =
  • (i)
    26.00 cm
  • (ii)
    23.00 cm
  • (iii)
    29.00 cm
  • (iv)
    31.00 cm
  • (v)
    21.00 cm
Question 11
11.
If the breadth and perimeter of a rectangle are 19.00 cm and 78.00 cm respectively, the area of the rectangle =
  • (i)
    380.00 sq.cm
  • (ii)
    367.00 sq.cm
  • (iii)
    406.00 sq.cm
  • (iv)
    353.00 sq.cm
  • (v)
    386.00 sq.cm
Question 12
12.
If the breadth and area of a rectangle are 17.00 cm and 323.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    75.00 cm
  • (ii)
    69.00 cm
  • (iii)
    67.00 cm
  • (iv)
    72.00 cm
  • (v)
    77.00 cm
Question 13
13.
In quadrilateral PQRS, if diagonal QS = 17.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 9.82 cm and 17.52 cm respectively, then area of the quadrilateral =
  • (i)
    245.39 sq.cm
  • (ii)
    204.39 sq.cm
  • (iii)
    232.39 sq.cm
  • (iv)
    220.39 sq.cm
  • (v)
    257.39 sq.cm
Question 14
14.
In trapezium ABCD, if distance between the parallel sides is 15.54 cm and lengths of the parallel sides AB = 20.00 cm and CD = 7.00 cm, then area of the trapezium =
  • (i)
    192.79 sq.cm
  • (ii)
    212.79 sq.cm
  • (iii)
    209.79 sq.cm
  • (iv)
    237.79 sq.cm
  • (v)
    194.79 sq.cm
Question 15
15.
In parallelogram PQRS, if base PQ = 13.00 cm and the corresponding height is 14.95 cm, then area of the parallelogram =
  • (i)
    181.35 sq.cm
  • (ii)
    194.35 sq.cm
  • (iii)
    220.35 sq.cm
  • (iv)
    176.35 sq.cm
  • (v)
    200.35 sq.cm
Question 16
16.
In rhombus PQRS, if diagonals QS = 17.00 cm and PR = 24.72 cm, the area of the rhombus =
  • (i)
    210.12 sq.cm
  • (ii)
    226.12 sq.cm
  • (iii)
    192.12 sq.cm
  • (iv)
    225.12 sq.cm
  • (v)
    196.12 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 10.57 cm and 8.87 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    6.87 cm
  • (ii)
    9.87 cm
  • (iii)
    8.87 cm
  • (iv)
    7.87 cm
  • (v)
    10.87 cm
Question 18
18.
In quadrilateral PQRS, if diagonal QS = 19.00 cm, height of vertex P to the diagonal QS is 17.60 cm and area is 251.94 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    7.92 cm
  • (ii)
    8.92 cm
  • (iii)
    6.92 cm
  • (iv)
    9.92 cm
  • (v)
    10.92 cm
Question 19
19.
In quadrilateral PQRS, if area is 194.09 sq.cm, height of vertex P to the diagonal QS is 12.59 cm, and height of vertex R to the diagonal QS is 7.84 cm, then diagonal QS =
  • (i)
    24.00 cm
  • (ii)
    19.00 cm
  • (iii)
    22.00 cm
  • (iv)
    16.00 cm
  • (v)
    14.00 cm
Question 20
20.
In trapezium ABCD, if area is 118.56 sq.cm and lengths of the parallel sides are AB = 16.00 cm and CD = 10.00 cm, then distance between the parallel sides AB and CD =
  • (i)
    9.12 cm
  • (ii)
    8.12 cm
  • (iii)
    11.12 cm
  • (iv)
    7.12 cm
  • (v)
    10.12 cm
Question 21
21.
In trapezium ABCD, if one of the parallel sides AB = 17.00 cm and distance between parallel sides AB and CD is 9.02 cm and area is 112.75 sq.cm, then parallel side CD =
  • (i)
    7.00 cm
  • (ii)
    9.00 cm
  • (iii)
    10.00 cm
  • (iv)
    8.00 cm
  • (v)
    6.00 cm
Question 22
22.
In parallelogram PQRS, if base PQ = 17.00 cm and area is 286.79 sq.cm, the corresponding height to the base PQ is
  • (i)
    19.87 cm
  • (ii)
    11.87 cm
  • (iii)
    21.87 cm
  • (iv)
    16.87 cm
  • (v)
    13.87 cm
Question 23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 16.87 cm and area is 253.05 sq.cm, the base of the parallelogram PQ =
  • (i)
    20.00 cm
  • (ii)
    12.00 cm
  • (iii)
    18.00 cm
  • (iv)
    15.00 cm
  • (v)
    10.00 cm
Question 24
24.
In rhombus PQRS, if one of the diagonals QS = 19.00 cm and area is 195.41 sq.cm, the diagonal PR =
  • (i)
    25.57 cm
  • (ii)
    23.57 cm
  • (iii)
    15.57 cm
  • (iv)
    17.57 cm
  • (v)
    20.57 cm
Question 25
25.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    5680.00 sq.m
  • (ii)
    5360.00 sq.m
  • (iii)
    5450.00 sq.m
  • (iv)
    5500.00 sq.m
  • (v)
    5630.00 sq.m
Question 26
26.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    12350.00 sq.m
  • (ii)
    8850.00 sq.m
  • (iii)
    11150.00 sq.m
  • (iv)
    9750.00 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)
    103.00 sq.cm
  • (ii)
    101.00 sq.cm
  • (iii)
    93.00 sq.cm
  • (iv)
    95.00 sq.cm
  • (v)
    98.00 sq.cm
Question 28
28.
In the given figure, find the area of the shaded region
  • (i)
    70.00 sq.cm
  • (ii)
    60.00 sq.cm
  • (iii)
    65.00 sq.cm
  • (iv)
    68.00 sq.cm
  • (v)
    62.00 sq.cm
Question 29
29.
In the given figure, find the area of the shaded region
  • (i)
    157.00 sq.cm
  • (ii)
    150.00 sq.cm
  • (iii)
    135.00 sq.cm
  • (iv)
    163.00 sq.cm
  • (v)
    136.00 sq.cm
    Assignment Key
  •  1) (ii)
  •  2) (i)
  •  3) (iv)
  •  4) (ii)
  •  5) (iv)
  •  6) (i)
  •  7) (i)
  •  8) (iii)
  •  9) (v)
  •  10) (i)
  •  11) (i)
  •  12) (iv)
  •  13) (iii)
  •  14) (iii)
  •  15) (ii)
  •  16) (i)
  •  17) (iii)
  •  18) (ii)
  •  19) (ii)
  •  20) (i)
  •  21) (iv)
  •  22) (iv)
  •  23) (iv)
  •  24) (v)
  •  25) (iv)
  •  26) (iii)
  •  27) (v)
  •  28) (iii)
  •  29) (ii)