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)
    55.00 cm
  • (iii)
    65.00 cm
  • (iv)
    57.00 cm
  • (v)
    60.00 cm
Question 2
2.
If the side of a square is 12.00 cm, the area of the square =
  • (i)
    157.00 sq.cm
  • (ii)
    129.00 sq.cm
  • (iii)
    152.00 sq.cm
  • (iv)
    140.00 sq.cm
  • (v)
    144.00 sq.cm
Question 3
3.
If the area of a square is 324.00 sq.cm, the perimeter of the square =
  • (i)
    77.00 cm
  • (ii)
    75.00 cm
  • (iii)
    72.00 cm
  • (iv)
    67.00 cm
  • (v)
    69.00 cm
Question 4
4.
If the length of the diagonal of a square is 15.55 cm, the perimeter of the square =
  • (i)
    41.00 cm
  • (ii)
    44.00 cm
  • (iii)
    39.00 cm
  • (iv)
    49.00 cm
  • (v)
    47.00 cm
Question 5
5.
If the length of the diagonal of a square is 16.97 cm, the area of the square =
  • (i)
    144.00 sq.cm
  • (ii)
    148.00 sq.cm
  • (iii)
    162.00 sq.cm
  • (iv)
    119.00 sq.cm
  • (v)
    131.00 sq.cm
Question 6
6.
If the length and breadth of a rectangle are 20.00 cm and 19.00 cm respectively, the perimeter of the rectangle =
  • (i)
    75.00 cm
  • (ii)
    73.00 cm
  • (iii)
    81.00 cm
  • (iv)
    83.00 cm
  • (v)
    78.00 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)
    175.00 sq.cm
  • (ii)
    195.00 sq.cm
  • (iii)
    192.00 sq.cm
  • (iv)
    174.00 sq.cm
  • (v)
    206.00 sq.cm
Question 8
8.
If the length and perimeter of a rectangle are 13.00 cm and 50.00 cm respectively, the area of the rectangle =
  • (i)
    140.00 sq.cm
  • (ii)
    156.00 sq.cm
  • (iii)
    179.00 sq.cm
  • (iv)
    144.00 sq.cm
  • (v)
    160.00 sq.cm
Question 9
9.
If the length and area of a rectangle are 7.00 cm and 42.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    26.00 cm
  • (ii)
    29.00 cm
  • (iii)
    23.00 cm
  • (iv)
    21.00 cm
  • (v)
    31.00 cm
Question 10
10.
If the length and diagonal of a rectangle are 10.00 cm and 13.45 cm respectively, the perimeter of the rectangle =
  • (i)
    38.00 cm
  • (ii)
    43.00 cm
  • (iii)
    41.00 cm
  • (iv)
    35.00 cm
  • (v)
    33.00 cm
Question 11
11.
If the breadth and perimeter of a rectangle are 5.00 cm and 34.00 cm respectively, the area of the rectangle =
  • (i)
    63.00 sq.cm
  • (ii)
    57.00 sq.cm
  • (iii)
    65.00 sq.cm
  • (iv)
    55.00 sq.cm
  • (v)
    60.00 sq.cm
Question 12
12.
If the breadth and area of a rectangle are 12.00 cm and 168.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    55.00 cm
  • (ii)
    57.00 cm
  • (iii)
    52.00 cm
  • (iv)
    47.00 cm
  • (v)
    49.00 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 9.25 cm and 9.33 cm respectively, then area of the quadrilateral =
  • (i)
    151.51 sq.cm
  • (ii)
    189.51 sq.cm
  • (iii)
    192.51 sq.cm
  • (iv)
    169.51 sq.cm
  • (v)
    176.51 sq.cm
Question 14
14.
In trapezium ABCD, if distance between the parallel sides is 11.40 cm and lengths of the parallel sides AB = 16.00 cm and CD = 7.00 cm, then area of the trapezium =
  • (i)
    157.10 sq.cm
  • (ii)
    136.10 sq.cm
  • (iii)
    113.10 sq.cm
  • (iv)
    131.10 sq.cm
  • (v)
    107.10 sq.cm
Question 15
15.
In parallelogram PQRS, if base PQ = 19.00 cm and the corresponding height is 10.82 cm, then area of the parallelogram =
  • (i)
    218.58 sq.cm
  • (ii)
    205.58 sq.cm
  • (iii)
    193.58 sq.cm
  • (iv)
    199.58 sq.cm
  • (v)
    221.58 sq.cm
Question 16
16.
In rhombus PQRS, if diagonals QS = 19.00 cm and PR = 30.58 cm, the area of the rhombus =
  • (i)
    267.51 sq.cm
  • (ii)
    294.51 sq.cm
  • (iii)
    290.51 sq.cm
  • (iv)
    303.51 sq.cm
  • (v)
    278.51 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 10.78 cm and 12.67 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    15.67 cm
  • (ii)
    17.67 cm
  • (iii)
    12.67 cm
  • (iv)
    7.67 cm
  • (v)
    9.67 cm
Question 18
18.
In quadrilateral PQRS, if diagonal QS = 18.00 cm, height of vertex P to the diagonal QS is 10.92 cm and area is 155.16 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    8.32 cm
  • (ii)
    5.32 cm
  • (iii)
    4.32 cm
  • (iv)
    6.32 cm
  • (v)
    7.32 cm
Question 19
19.
In quadrilateral PQRS, if area is 148.46 sq.cm, height of vertex P to the diagonal QS is 8.22 cm, and height of vertex R to the diagonal QS is 14.62 cm, then diagonal QS =
  • (i)
    18.00 cm
  • (ii)
    16.00 cm
  • (iii)
    10.00 cm
  • (iv)
    13.00 cm
  • (v)
    8.00 cm
Question 20
20.
In trapezium ABCD, if area is 119.34 sq.cm and lengths of the parallel sides are AB = 18.00 cm and CD = 9.00 cm, then distance between the parallel sides AB and CD =
  • (i)
    7.84 cm
  • (ii)
    6.84 cm
  • (iii)
    10.84 cm
  • (iv)
    8.84 cm
  • (v)
    9.84 cm
Question 21
21.
In trapezium ABCD, if one of the parallel sides AB = 20.00 cm and distance between parallel sides AB and CD is 14.34 cm and area is 200.76 sq.cm, then parallel side CD =
  • (i)
    9.00 cm
  • (ii)
    7.00 cm
  • (iii)
    6.00 cm
  • (iv)
    10.00 cm
  • (v)
    8.00 cm
Question 22
22.
In parallelogram PQRS, if base PQ = 14.00 cm and area is 135.38 sq.cm, the corresponding height to the base PQ is
  • (i)
    9.67 cm
  • (ii)
    7.67 cm
  • (iii)
    10.67 cm
  • (iv)
    8.67 cm
  • (v)
    11.67 cm
Question 23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 13.97 cm and area is 167.64 sq.cm, the base of the parallelogram PQ =
  • (i)
    15.00 cm
  • (ii)
    9.00 cm
  • (iii)
    17.00 cm
  • (iv)
    12.00 cm
  • (v)
    7.00 cm
Question 24
24.
In rhombus PQRS, if one of the diagonals QS = 17.00 cm and area is 167.20 sq.cm, the diagonal PR =
  • (i)
    16.67 cm
  • (ii)
    19.67 cm
  • (iii)
    22.67 cm
  • (iv)
    14.67 cm
  • (v)
    24.67 cm
Question 25
25.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    14362.50 sq.m
  • (ii)
    13162.50 sq.m
  • (iii)
    11662.50 sq.m
  • (iv)
    15762.50 sq.m
  • (v)
    15062.50 sq.m
Question 26
26.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    13125.00 sq.m
  • (ii)
    11225.00 sq.m
  • (iii)
    9025.00 sq.m
  • (iv)
    10425.00 sq.m
  • (v)
    10225.00 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)
    77.00 sq.cm
  • (ii)
    75.00 sq.cm
  • (iii)
    72.00 sq.cm
  • (iv)
    69.00 sq.cm
  • (v)
    67.00 sq.cm
Question 28
28.
In the given figure, find the area of the shaded region
  • (i)
    120.00 sq.cm
  • (ii)
    128.00 sq.cm
  • (iii)
    153.00 sq.cm
  • (iv)
    136.00 sq.cm
Question 29
29.
In the given figure, find the area of the shaded region
  • (i)
    351.00 sq.cm
  • (ii)
    323.00 sq.cm
  • (iii)
    336.00 sq.cm
  • (iv)
    310.00 sq.cm
  • (v)
    344.00 sq.cm
    Assignment Key
  •  1) (v)
  •  2) (v)
  •  3) (iii)
  •  4) (ii)
  •  5) (i)
  •  6) (v)
  •  7) (iii)
  •  8) (ii)
  •  9) (i)
  •  10) (i)
  •  11) (v)
  •  12) (iii)
  •  13) (v)
  •  14) (iv)
  •  15) (ii)
  •  16) (iii)
  •  17) (iii)
  •  18) (iv)
  •  19) (iv)
  •  20) (iv)
  •  21) (v)
  •  22) (i)
  •  23) (iv)
  •  24) (ii)
  •  25) (i)
  •  26) (iv)
  •  27) (iii)
  •  28) (iv)
  •  29) (iii)