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 20.00 cm, the perimeter of the square =
  • (i)
    83.00 cm
  • (ii)
    80.00 cm
  • (iii)
    85.00 cm
  • (iv)
    77.00 cm
  • (v)
    75.00 cm
Question 2
2.
If the side of a square is 13.00 cm, the area of the square =
  • (i)
    156.00 sq.cm
  • (ii)
    181.00 sq.cm
  • (iii)
    169.00 sq.cm
  • (iv)
    155.00 sq.cm
Question 3
3.
If the area of a square is 324.00 sq.cm, the perimeter of the square =
  • (i)
    72.00 cm
  • (ii)
    67.00 cm
  • (iii)
    69.00 cm
  • (iv)
    77.00 cm
  • (v)
    75.00 cm
Question 4
4.
If the length of the diagonal of a square is 28.28 cm, the perimeter of the square =
  • (i)
    85.00 cm
  • (ii)
    75.00 cm
  • (iii)
    80.00 cm
  • (iv)
    83.00 cm
  • (v)
    77.00 cm
Question 5
5.
If the length of the diagonal of a square is 26.87 cm, the area of the square =
  • (i)
    364.00 sq.cm
  • (ii)
    348.00 sq.cm
  • (iii)
    386.00 sq.cm
  • (iv)
    361.00 sq.cm
  • (v)
    333.00 sq.cm
Question 6
6.
If the length and breadth of a rectangle are 12.00 cm and 9.00 cm respectively, the perimeter of the rectangle =
  • (i)
    47.00 cm
  • (ii)
    42.00 cm
  • (iii)
    37.00 cm
  • (iv)
    45.00 cm
  • (v)
    39.00 cm
Question 7
7.
If the length and breadth of a rectangle are 11.00 cm and 6.00 cm respectively, the area of the rectangle =
  • (i)
    71.00 sq.cm
  • (ii)
    63.00 sq.cm
  • (iii)
    66.00 sq.cm
  • (iv)
    61.00 sq.cm
  • (v)
    69.00 sq.cm
Question 8
8.
If the length and perimeter of a rectangle are 15.00 cm and 54.00 cm respectively, the area of the rectangle =
  • (i)
    163.00 sq.cm
  • (ii)
    195.00 sq.cm
  • (iii)
    184.00 sq.cm
  • (iv)
    162.00 sq.cm
  • (v)
    180.00 sq.cm
Question 9
9.
If the length and area of a rectangle are 14.00 cm and 70.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    35.00 cm
  • (ii)
    33.00 cm
  • (iii)
    38.00 cm
  • (iv)
    41.00 cm
  • (v)
    43.00 cm
Question 10
10.
If the length and diagonal of a rectangle are 19.00 cm and 25.50 cm respectively, the perimeter of the rectangle =
  • (i)
    72.00 cm
  • (ii)
    77.00 cm
  • (iii)
    69.00 cm
  • (iv)
    75.00 cm
  • (v)
    67.00 cm
Question 11
11.
If the breadth and perimeter of a rectangle are 11.00 cm and 52.00 cm respectively, the area of the rectangle =
  • (i)
    179.00 sq.cm
  • (ii)
    151.00 sq.cm
  • (iii)
    193.00 sq.cm
  • (iv)
    162.00 sq.cm
  • (v)
    165.00 sq.cm
Question 12
12.
If the breadth and area of a rectangle are 6.00 cm and 42.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    26.00 cm
  • (ii)
    21.00 cm
  • (iii)
    29.00 cm
  • (iv)
    31.00 cm
  • (v)
    23.00 cm
Question 13
13.
In quadrilateral PQRS, if diagonal QS = 20.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 16.16 cm and 8.78 cm respectively, then area of the quadrilateral =
  • (i)
    254.40 sq.cm
  • (ii)
    237.40 sq.cm
  • (iii)
    233.40 sq.cm
  • (iv)
    249.40 sq.cm
  • (v)
    262.40 sq.cm
Question 14
14.
In trapezium ABCD, if distance between the parallel sides is 9.59 cm and lengths of the parallel sides AB = 16.00 cm and CD = 6.00 cm, then area of the trapezium =
  • (i)
    79.49 sq.cm
  • (ii)
    119.49 sq.cm
  • (iii)
    93.49 sq.cm
  • (iv)
    105.49 sq.cm
  • (v)
    133.49 sq.cm
Question 15
15.
In parallelogram PQRS, if base PQ = 14.00 cm and the corresponding height is 14.85 cm, then area of the parallelogram =
  • (i)
    233.90 sq.cm
  • (ii)
    191.90 sq.cm
  • (iii)
    202.90 sq.cm
  • (iv)
    207.90 sq.cm
  • (v)
    214.90 sq.cm
Question 16
16.
In rhombus PQRS, if diagonals QS = 16.00 cm and PR = 25.38 cm, the area of the rhombus =
  • (i)
    203.04 sq.cm
  • (ii)
    210.04 sq.cm
  • (iii)
    216.04 sq.cm
  • (iv)
    189.04 sq.cm
  • (v)
    197.04 sq.cm
Question 17
17.
In quadrilateral PQRS, if diagonal QS = 16.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 8.87 cm and 12.07 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    17.07 cm
  • (ii)
    9.07 cm
  • (iii)
    12.07 cm
  • (iv)
    15.07 cm
  • (v)
    7.07 cm
Question 18
18.
In quadrilateral PQRS, if diagonal QS = 11.00 cm, height of vertex P to the diagonal QS is 11.18 cm and area is 126.72 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    6.86 cm
  • (ii)
    14.86 cm
  • (iii)
    11.86 cm
  • (iv)
    8.86 cm
  • (v)
    16.86 cm
Question 19
19.
In quadrilateral PQRS, if area is 241.20 sq.cm, height of vertex P to the diagonal QS is 14.70 cm, and height of vertex R to the diagonal QS is 17.46 cm, then diagonal QS =
  • (i)
    20.00 cm
  • (ii)
    12.00 cm
  • (iii)
    10.00 cm
  • (iv)
    18.00 cm
  • (v)
    15.00 cm
Question 20
20.
In trapezium ABCD, if area is 172.80 sq.cm and lengths of the parallel sides are AB = 19.00 cm and CD = 8.00 cm, then distance between the parallel sides AB and CD =
  • (i)
    7.80 cm
  • (ii)
    17.80 cm
  • (iii)
    9.80 cm
  • (iv)
    12.80 cm
  • (v)
    15.80 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 10.46 cm and area is 151.67 sq.cm, then parallel side CD =
  • (i)
    11.00 cm
  • (ii)
    14.00 cm
  • (iii)
    16.00 cm
  • (iv)
    8.00 cm
  • (v)
    6.00 cm
Question 22
22.
In parallelogram PQRS, if base PQ = 13.00 cm and area is 153.40 sq.cm, the corresponding height to the base PQ is
  • (i)
    8.80 cm
  • (ii)
    16.80 cm
  • (iii)
    6.80 cm
  • (iv)
    11.80 cm
  • (v)
    14.80 cm
Question 23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 13.47 cm and area is 269.40 sq.cm, the base of the parallelogram PQ =
  • (i)
    25.00 cm
  • (ii)
    15.00 cm
  • (iii)
    17.00 cm
  • (iv)
    20.00 cm
  • (v)
    23.00 cm
Question 24
24.
In rhombus PQRS, if one of the diagonals QS = 13.00 cm and area is 218.21 sq.cm, the diagonal PR =
  • (i)
    36.57 cm
  • (ii)
    38.57 cm
  • (iii)
    30.57 cm
  • (iv)
    33.57 cm
  • (v)
    28.57 cm
Question 25
25.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    12950.00 sq.m
  • (ii)
    10450.00 sq.m
  • (iii)
    10250.00 sq.m
  • (iv)
    13150.00 sq.m
  • (v)
    11650.00 sq.m
Question 26
26.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    9555.00 sq.m
  • (ii)
    9685.00 sq.m
  • (iii)
    10085.00 sq.m
  • (iv)
    10005.00 sq.m
  • (v)
    9825.00 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)
    140.00 sq.cm
  • (ii)
    162.00 sq.cm
  • (iii)
    180.00 sq.cm
  • (iv)
    148.00 sq.cm
  • (v)
    187.00 sq.cm
Question 28
28.
In the given figure, find the area of the shaded region
  • (i)
    120.00 sq.cm
  • (ii)
    113.00 sq.cm
  • (iii)
    107.00 sq.cm
  • (iv)
    126.00 sq.cm
  • (v)
    135.00 sq.cm
Question 29
29.
In the given figure, find the area of the shaded region
  • (i)
    82.00 sq.cm
  • (ii)
    125.00 sq.cm
  • (iii)
    103.00 sq.cm
  • (iv)
    108.00 sq.cm
  • (v)
    130.00 sq.cm
    Assignment Key
  •  1) (ii)
  •  2) (iii)
  •  3) (i)
  •  4) (iii)
  •  5) (iv)
  •  6) (ii)
  •  7) (iii)
  •  8) (v)
  •  9) (iii)
  •  10) (i)
  •  11) (v)
  •  12) (i)
  •  13) (iv)
  •  14) (iv)
  •  15) (iv)
  •  16) (i)
  •  17) (iii)
  •  18) (iii)
  •  19) (v)
  •  20) (iv)
  •  21) (i)
  •  22) (iv)
  •  23) (iv)
  •  24) (iv)
  •  25) (v)
  •  26) (v)
  •  27) (ii)
  •  28) (i)
  •  29) (iv)