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 12.00 cm, the perimeter of the square =
  • (i)
    45.00 cm
  • (ii)
    43.00 cm
  • (iii)
    48.00 cm
  • (iv)
    53.00 cm
  • (v)
    51.00 cm
Question 2
2.
If the side of a square is 12.00 cm, the area of the square =
  • (i)
    160.00 sq.cm
  • (ii)
    144.00 sq.cm
  • (iii)
    141.00 sq.cm
  • (iv)
    151.00 sq.cm
  • (v)
    129.00 sq.cm
Question 3
3.
If the area of a square is 144.00 sq.cm, the perimeter of the square =
  • (i)
    51.00 cm
  • (ii)
    53.00 cm
  • (iii)
    48.00 cm
  • (iv)
    43.00 cm
  • (v)
    45.00 cm
Question 4
4.
If the length of the diagonal of a square is 22.62 cm, the perimeter of the square =
  • (i)
    64.00 cm
  • (ii)
    59.00 cm
  • (iii)
    67.00 cm
  • (iv)
    69.00 cm
  • (v)
    61.00 cm
Question 5
5.
If the length of the diagonal of a square is 19.80 cm, the area of the square =
  • (i)
    196.00 sq.cm
  • (ii)
    209.00 sq.cm
  • (iii)
    194.00 sq.cm
  • (iv)
    202.00 sq.cm
  • (v)
    181.00 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)
    61.00 cm
  • (ii)
    66.00 cm
  • (iii)
    63.00 cm
  • (iv)
    71.00 cm
  • (v)
    69.00 cm
Question 7
7.
If the length and breadth of a rectangle are 18.00 cm and 17.00 cm respectively, the area of the rectangle =
  • (i)
    293.00 sq.cm
  • (ii)
    322.00 sq.cm
  • (iii)
    278.00 sq.cm
  • (iv)
    306.00 sq.cm
Question 8
8.
If the length and perimeter of a rectangle are 16.00 cm and 60.00 cm respectively, the area of the rectangle =
  • (i)
    242.00 sq.cm
  • (ii)
    198.00 sq.cm
  • (iii)
    221.00 sq.cm
  • (iv)
    231.00 sq.cm
  • (v)
    224.00 sq.cm
Question 9
9.
If the length and area of a rectangle are 14.00 cm and 112.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    44.00 cm
  • (ii)
    41.00 cm
  • (iii)
    39.00 cm
  • (iv)
    47.00 cm
  • (v)
    49.00 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)
    39.00 cm
  • (ii)
    44.00 cm
  • (iii)
    49.00 cm
  • (iv)
    47.00 cm
  • (v)
    41.00 cm
Question 11
11.
If the breadth and perimeter of a rectangle are 12.00 cm and 54.00 cm respectively, the area of the rectangle =
  • (i)
    168.00 sq.cm
  • (ii)
    185.00 sq.cm
  • (iii)
    206.00 sq.cm
  • (iv)
    180.00 sq.cm
  • (v)
    173.00 sq.cm
Question 12
12.
If the breadth and area of a rectangle are 8.00 cm and 112.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    47.00 cm
  • (ii)
    44.00 cm
  • (iii)
    49.00 cm
  • (iv)
    39.00 cm
  • (v)
    41.00 cm
Question 13
13.
In quadrilateral PQRS, if diagonal QS = 13.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 8.22 cm and 9.60 cm respectively, then area of the quadrilateral =
  • (i)
    119.83 sq.cm
  • (ii)
    100.83 sq.cm
  • (iii)
    142.83 sq.cm
  • (iv)
    113.83 sq.cm
  • (v)
    115.83 sq.cm
Question 14
14.
In trapezium ABCD, if distance between the parallel sides is 8.41 cm and lengths of the parallel sides AB = 17.00 cm and CD = 8.00 cm, then area of the trapezium =
  • (i)
    102.12 sq.cm
  • (ii)
    133.12 sq.cm
  • (iii)
    105.12 sq.cm
  • (iv)
    112.12 sq.cm
  • (v)
    79.12 sq.cm
Question 15
15.
In parallelogram PQRS, if base PQ = 18.00 cm and the corresponding height is 17.27 cm, then area of the parallelogram =
  • (i)
    294.86 sq.cm
  • (ii)
    283.86 sq.cm
  • (iii)
    324.86 sq.cm
  • (iv)
    310.86 sq.cm
  • (v)
    322.86 sq.cm
Question 16
16.
In rhombus PQRS, if diagonals QS = 20.00 cm and PR = 24.98 cm, the area of the rhombus =
  • (i)
    255.80 sq.cm
  • (ii)
    247.80 sq.cm
  • (iii)
    249.80 sq.cm
  • (iv)
    227.80 sq.cm
  • (v)
    276.80 sq.cm
Question 17
17.
In quadrilateral PQRS, if diagonal QS = 20.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 12.98 cm and 12.98 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    15.98 cm
  • (ii)
    9.98 cm
  • (iii)
    7.98 cm
  • (iv)
    12.98 cm
  • (v)
    17.98 cm
Question 18
18.
In quadrilateral PQRS, if diagonal QS = 17.00 cm, height of vertex P to the diagonal QS is 10.02 cm and area is 149.94 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    5.62 cm
  • (ii)
    8.62 cm
  • (iii)
    6.62 cm
  • (iv)
    9.62 cm
  • (v)
    7.62 cm
Question 19
19.
In quadrilateral PQRS, if area is 197.55 sq.cm, height of vertex P to the diagonal QS is 13.29 cm, and height of vertex R to the diagonal QS is 8.66 cm, then diagonal QS =
  • (i)
    13.00 cm
  • (ii)
    15.00 cm
  • (iii)
    18.00 cm
  • (iv)
    23.00 cm
  • (v)
    21.00 cm
Question 20
20.
In trapezium ABCD, if area is 85.14 sq.cm and lengths of the parallel sides are AB = 13.00 cm and CD = 5.00 cm, then distance between the parallel sides AB and CD =
  • (i)
    8.46 cm
  • (ii)
    10.46 cm
  • (iii)
    9.46 cm
  • (iv)
    7.46 cm
  • (v)
    11.46 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 6.15 cm and area is 70.73 sq.cm, then parallel side CD =
  • (i)
    8.00 cm
  • (ii)
    4.00 cm
  • (iii)
    5.00 cm
  • (iv)
    7.00 cm
  • (v)
    6.00 cm
Question 22
22.
In parallelogram PQRS, if base PQ = 17.00 cm and area is 203.32 sq.cm, the corresponding height to the base PQ is
  • (i)
    8.96 cm
  • (ii)
    6.96 cm
  • (iii)
    16.96 cm
  • (iv)
    11.96 cm
  • (v)
    14.96 cm
Question 23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 8.84 cm and area is 159.12 sq.cm, the base of the parallelogram PQ =
  • (i)
    13.00 cm
  • (ii)
    18.00 cm
  • (iii)
    15.00 cm
  • (iv)
    23.00 cm
  • (v)
    21.00 cm
Question 24
24.
In rhombus PQRS, if one of the diagonals QS = 15.00 cm and area is 120.67 sq.cm, the diagonal PR =
  • (i)
    16.09 cm
  • (ii)
    13.09 cm
  • (iii)
    19.09 cm
  • (iv)
    21.09 cm
  • (v)
    11.09 cm
Question 25
25.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    11100.00 sq.m
  • (ii)
    14300.00 sq.m
  • (iii)
    15100.00 sq.m
  • (iv)
    10400.00 sq.m
  • (v)
    12800.00 sq.m
Question 26
26.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    9975.00 sq.m
  • (ii)
    9815.00 sq.m
  • (iii)
    10025.00 sq.m
  • (iv)
    10255.00 sq.m
  • (v)
    9895.00 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)
    144.50 sq.cm
  • (ii)
    121.50 sq.cm
  • (iii)
    126.50 sq.cm
  • (iv)
    160.50 sq.cm
  • (v)
    169.50 sq.cm
Question 28
28.
In the given figure, find the area of the shaded region
  • (i)
    87.00 sq.cm
  • (ii)
    118.00 sq.cm
  • (iii)
    102.00 sq.cm
  • (iv)
    120.00 sq.cm
  • (v)
    75.00 sq.cm
Question 29
29.
In the given figure, find the area of the shaded region
  • (i)
    253.50 sq.cm
  • (ii)
    240.50 sq.cm
  • (iii)
    223.50 sq.cm
  • (iv)
    225.50 sq.cm
  • (v)
    268.50 sq.cm
    Assignment Key
  •  1) (iii)
  •  2) (ii)
  •  3) (iii)
  •  4) (i)
  •  5) (i)
  •  6) (ii)
  •  7) (iv)
  •  8) (v)
  •  9) (i)
  •  10) (ii)
  •  11) (iv)
  •  12) (ii)
  •  13) (v)
  •  14) (iii)
  •  15) (iv)
  •  16) (iii)
  •  17) (iv)
  •  18) (v)
  •  19) (iii)
  •  20) (iii)
  •  21) (v)
  •  22) (iv)
  •  23) (ii)
  •  24) (i)
  •  25) (v)
  •  26) (i)
  •  27) (i)
  •  28) (iii)
  •  29) (ii)