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)
    53.00 cm
  • (ii)
    45.00 cm
  • (iii)
    51.00 cm
  • (iv)
    43.00 cm
  • (v)
    48.00 cm
Question 2
2.
If the side of a square is 14.00 cm, the area of the square =
  • (i)
    220.00 sq.cm
  • (ii)
    196.00 sq.cm
  • (iii)
    191.00 sq.cm
  • (iv)
    198.00 sq.cm
  • (v)
    169.00 sq.cm
Question 3
3.
If the area of a square is 256.00 sq.cm, the perimeter of the square =
  • (i)
    67.00 cm
  • (ii)
    64.00 cm
  • (iii)
    69.00 cm
  • (iv)
    59.00 cm
  • (v)
    61.00 cm
Question 4
4.
If the length of the diagonal of a square is 22.62 cm, the perimeter of the square =
  • (i)
    69.00 cm
  • (ii)
    67.00 cm
  • (iii)
    59.00 cm
  • (iv)
    61.00 cm
  • (v)
    64.00 cm
Question 5
5.
If the length of the diagonal of a square is 21.21 cm, the area of the square =
  • (i)
    198.00 sq.cm
  • (ii)
    225.00 sq.cm
  • (iii)
    239.00 sq.cm
  • (iv)
    230.00 sq.cm
  • (v)
    207.00 sq.cm
Question 6
6.
If the length and breadth of a rectangle are 20.00 cm and 18.00 cm respectively, the perimeter of the rectangle =
  • (i)
    76.00 cm
  • (ii)
    81.00 cm
  • (iii)
    79.00 cm
  • (iv)
    71.00 cm
  • (v)
    73.00 cm
Question 7
7.
If the length and breadth of a rectangle are 16.00 cm and 6.00 cm respectively, the area of the rectangle =
  • (i)
    99.00 sq.cm
  • (ii)
    93.00 sq.cm
  • (iii)
    91.00 sq.cm
  • (iv)
    96.00 sq.cm
  • (v)
    101.00 sq.cm
Question 8
8.
If the length and perimeter of a rectangle are 15.00 cm and 44.00 cm respectively, the area of the rectangle =
  • (i)
    117.00 sq.cm
  • (ii)
    110.00 sq.cm
  • (iii)
    88.00 sq.cm
  • (iv)
    105.00 sq.cm
  • (v)
    102.00 sq.cm
Question 9
9.
If the length and area of a rectangle are 17.00 cm and 255.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    59.00 cm
  • (ii)
    67.00 cm
  • (iii)
    61.00 cm
  • (iv)
    64.00 cm
  • (v)
    69.00 cm
Question 10
10.
If the length and diagonal of a rectangle are 16.00 cm and 21.93 cm respectively, the perimeter of the rectangle =
  • (i)
    62.00 cm
  • (ii)
    65.00 cm
  • (iii)
    67.00 cm
  • (iv)
    59.00 cm
  • (v)
    57.00 cm
Question 11
11.
If the breadth and perimeter of a rectangle are 6.00 cm and 32.00 cm respectively, the area of the rectangle =
  • (i)
    57.00 sq.cm
  • (ii)
    63.00 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)
    47.00 cm
  • (iii)
    52.00 cm
  • (iv)
    57.00 cm
  • (v)
    49.00 cm
Question 13
13.
In quadrilateral PQRS, if diagonal QS = 18.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 14.80 cm and 13.23 cm respectively, then area of the quadrilateral =
  • (i)
    252.27 sq.cm
  • (ii)
    268.27 sq.cm
  • (iii)
    250.27 sq.cm
  • (iv)
    270.27 sq.cm
  • (v)
    236.27 sq.cm
Question 14
14.
In trapezium ABCD, if distance between the parallel sides is 9.03 cm and lengths of the parallel sides AB = 15.00 cm and CD = 7.00 cm, then area of the trapezium =
  • (i)
    104.33 sq.cm
  • (ii)
    96.33 sq.cm
  • (iii)
    94.33 sq.cm
  • (iv)
    102.33 sq.cm
  • (v)
    99.33 sq.cm
Question 15
15.
In parallelogram PQRS, if base PQ = 16.00 cm and the corresponding height is 13.71 cm, then area of the parallelogram =
  • (i)
    192.36 sq.cm
  • (ii)
    247.36 sq.cm
  • (iii)
    231.36 sq.cm
  • (iv)
    219.36 sq.cm
  • (v)
    214.36 sq.cm
Question 16
16.
In rhombus PQRS, if diagonals QS = 11.00 cm and PR = 21.33 cm, the area of the rhombus =
  • (i)
    132.31 sq.cm
  • (ii)
    135.31 sq.cm
  • (iii)
    104.31 sq.cm
  • (iv)
    115.31 sq.cm
  • (v)
    117.31 sq.cm
Question 17
17.
In quadrilateral PQRS, if diagonal QS = 18.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 9.67 cm and 12.00 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    15.00 cm
  • (ii)
    9.00 cm
  • (iii)
    17.00 cm
  • (iv)
    12.00 cm
  • (v)
    7.00 cm
Question 18
18.
In quadrilateral PQRS, if diagonal QS = 17.00 cm, height of vertex P to the diagonal QS is 11.56 cm and area is 168.22 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    9.23 cm
  • (ii)
    10.23 cm
  • (iii)
    6.23 cm
  • (iv)
    7.23 cm
  • (v)
    8.23 cm
Question 19
19.
In quadrilateral PQRS, if area is 204.72 sq.cm, height of vertex P to the diagonal QS is 9.87 cm, and height of vertex R to the diagonal QS is 11.68 cm, then diagonal QS =
  • (i)
    16.00 cm
  • (ii)
    19.00 cm
  • (iii)
    24.00 cm
  • (iv)
    22.00 cm
  • (v)
    14.00 cm
Question 20
20.
In trapezium ABCD, if area is 176.98 sq.cm and lengths of the parallel sides are AB = 20.00 cm and CD = 7.00 cm, then distance between the parallel sides AB and CD =
  • (i)
    10.11 cm
  • (ii)
    18.11 cm
  • (iii)
    13.11 cm
  • (iv)
    16.11 cm
  • (v)
    8.11 cm
Question 21
21.
In trapezium ABCD, if one of the parallel sides AB = 15.00 cm and distance between parallel sides AB and CD is 7.33 cm and area is 76.97 sq.cm, then parallel side CD =
  • (i)
    6.00 cm
  • (ii)
    4.00 cm
  • (iii)
    7.00 cm
  • (iv)
    5.00 cm
  • (v)
    8.00 cm
Question 22
22.
In parallelogram PQRS, if base PQ = 11.00 cm and area is 131.89 sq.cm, the corresponding height to the base PQ is
  • (i)
    8.99 cm
  • (ii)
    6.99 cm
  • (iii)
    14.99 cm
  • (iv)
    11.99 cm
  • (v)
    16.99 cm
Question 23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 14.94 cm and area is 179.28 sq.cm, the base of the parallelogram PQ =
  • (i)
    12.00 cm
  • (ii)
    7.00 cm
  • (iii)
    15.00 cm
  • (iv)
    9.00 cm
  • (v)
    17.00 cm
Question 24
24.
In rhombus PQRS, if one of the diagonals QS = 16.00 cm and area is 143.12 sq.cm, the diagonal PR =
  • (i)
    20.89 cm
  • (ii)
    22.89 cm
  • (iii)
    14.89 cm
  • (iv)
    12.89 cm
  • (v)
    17.89 cm
Question 25
25.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    13737.50 sq.m
  • (ii)
    13137.50 sq.m
  • (iii)
    11237.50 sq.m
  • (iv)
    12437.50 sq.m
Question 26
26.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    6215.00 sq.m
  • (ii)
    6475.00 sq.m
  • (iii)
    6335.00 sq.m
  • (iv)
    6605.00 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)
    157.50 sq.cm
  • (iii)
    149.50 sq.cm
  • (iv)
    128.50 sq.cm
Question 28
28.
In the given figure, find the area of the shaded region
  • (i)
    167.00 sq.cm
  • (ii)
    186.00 sq.cm
  • (iii)
    192.00 sq.cm
  • (iv)
    164.00 sq.cm
  • (v)
    180.00 sq.cm
Question 29
29.
In the given figure, find the area of the shaded region
  • (i)
    216.00 sq.cm
  • (ii)
    208.00 sq.cm
  • (iii)
    200.00 sq.cm
  • (iv)
    229.00 sq.cm
    Assignment Key
  •  1) (v)
  •  2) (ii)
  •  3) (ii)
  •  4) (v)
  •  5) (ii)
  •  6) (i)
  •  7) (iv)
  •  8) (iv)
  •  9) (iv)
  •  10) (i)
  •  11) (v)
  •  12) (iii)
  •  13) (i)
  •  14) (v)
  •  15) (iv)
  •  16) (v)
  •  17) (iv)
  •  18) (v)
  •  19) (ii)
  •  20) (iii)
  •  21) (i)
  •  22) (iv)
  •  23) (i)
  •  24) (v)
  •  25) (iv)
  •  26) (ii)
  •  27) (i)
  •  28) (v)
  •  29) (i)