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 14.00 cm, the perimeter of the square =
  • (i)
    59.00 cm
  • (ii)
    56.00 cm
  • (iii)
    53.00 cm
  • (iv)
    61.00 cm
  • (v)
    51.00 cm
Question 2
2.
If the side of a square is 15.00 cm, the area of the square =
  • (i)
    239.00 sq.cm
  • (ii)
    213.00 sq.cm
  • (iii)
    208.00 sq.cm
  • (iv)
    237.00 sq.cm
  • (v)
    225.00 sq.cm
Question 3
3.
If the area of a square is 196.00 sq.cm, the perimeter of the square =
  • (i)
    51.00 cm
  • (ii)
    56.00 cm
  • (iii)
    59.00 cm
  • (iv)
    53.00 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)
    61.00 cm
  • (ii)
    67.00 cm
  • (iii)
    69.00 cm
  • (iv)
    64.00 cm
  • (v)
    59.00 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)
    144.00 sq.cm
  • (iii)
    156.00 sq.cm
  • (iv)
    159.00 sq.cm
  • (v)
    130.00 sq.cm
Question 6
6.
If the length and breadth of a rectangle are 12.00 cm and 11.00 cm respectively, the perimeter of the rectangle =
  • (i)
    49.00 cm
  • (ii)
    41.00 cm
  • (iii)
    46.00 cm
  • (iv)
    43.00 cm
  • (v)
    51.00 cm
Question 7
7.
If the length and breadth of a rectangle are 20.00 cm and 19.00 cm respectively, the area of the rectangle =
  • (i)
    384.00 sq.cm
  • (ii)
    380.00 sq.cm
  • (iii)
    368.00 sq.cm
  • (iv)
    355.00 sq.cm
  • (v)
    404.00 sq.cm
Question 8
8.
If the length and perimeter of a rectangle are 20.00 cm and 78.00 cm respectively, the area of the rectangle =
  • (i)
    367.00 sq.cm
  • (ii)
    384.00 sq.cm
  • (iii)
    380.00 sq.cm
  • (iv)
    404.00 sq.cm
Question 9
9.
If the length and area of a rectangle are 15.00 cm and 105.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    44.00 cm
  • (ii)
    47.00 cm
  • (iii)
    39.00 cm
  • (iv)
    41.00 cm
  • (v)
    49.00 cm
Question 10
10.
If the length and diagonal of a rectangle are 17.00 cm and 18.79 cm respectively, the perimeter of the rectangle =
  • (i)
    47.00 cm
  • (ii)
    50.00 cm
  • (iii)
    55.00 cm
  • (iv)
    53.00 cm
  • (v)
    45.00 cm
Question 11
11.
If the breadth and perimeter of a rectangle are 15.00 cm and 68.00 cm respectively, the area of the rectangle =
  • (i)
    285.00 sq.cm
  • (ii)
    260.00 sq.cm
  • (iii)
    303.00 sq.cm
  • (iv)
    299.00 sq.cm
  • (v)
    278.00 sq.cm
Question 12
12.
If the breadth and area of a rectangle are 14.00 cm and 224.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    55.00 cm
  • (ii)
    63.00 cm
  • (iii)
    60.00 cm
  • (iv)
    57.00 cm
  • (v)
    65.00 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 10.41 cm and 17.52 cm respectively, then area of the quadrilateral =
  • (i)
    243.41 sq.cm
  • (ii)
    237.41 sq.cm
  • (iii)
    211.41 sq.cm
  • (iv)
    264.41 sq.cm
  • (v)
    222.41 sq.cm
Question 14
14.
In trapezium ABCD, if distance between the parallel sides is 6.79 cm and lengths of the parallel sides AB = 16.00 cm and CD = 6.00 cm, then area of the trapezium =
  • (i)
    74.69 sq.cm
  • (ii)
    77.69 sq.cm
  • (iii)
    79.69 sq.cm
  • (iv)
    71.69 sq.cm
  • (v)
    69.69 sq.cm
Question 15
15.
In parallelogram PQRS, if base PQ = 13.00 cm and the corresponding height is 10.92 cm, then area of the parallelogram =
  • (i)
    141.96 sq.cm
  • (ii)
    148.96 sq.cm
  • (iii)
    169.96 sq.cm
  • (iv)
    117.96 sq.cm
  • (v)
    125.96 sq.cm
Question 16
16.
In rhombus PQRS, if diagonals QS = 13.00 cm and PR = 20.17 cm, the area of the rhombus =
  • (i)
    103.11 sq.cm
  • (ii)
    144.11 sq.cm
  • (iii)
    116.11 sq.cm
  • (iv)
    131.11 sq.cm
Question 17
17.
In quadrilateral PQRS, if diagonal QS = 17.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 11.56 cm and 9.20 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    7.20 cm
  • (ii)
    9.20 cm
  • (iii)
    10.20 cm
  • (iv)
    8.20 cm
  • (v)
    11.20 cm
Question 18
18.
In quadrilateral PQRS, if diagonal QS = 13.00 cm, height of vertex P to the diagonal QS is 8.22 cm and area is 114.92 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    10.46 cm
  • (ii)
    7.46 cm
  • (iii)
    11.46 cm
  • (iv)
    9.46 cm
  • (v)
    8.46 cm
Question 19
19.
In quadrilateral PQRS, if area is 150.22 sq.cm, height of vertex P to the diagonal QS is 11.81 cm, and height of vertex R to the diagonal QS is 9.65 cm, then diagonal QS =
  • (i)
    19.00 cm
  • (ii)
    17.00 cm
  • (iii)
    14.00 cm
  • (iv)
    11.00 cm
  • (v)
    9.00 cm
Question 20
20.
In trapezium ABCD, if area is 102.06 sq.cm and lengths of the parallel sides are AB = 19.00 cm and CD = 9.00 cm, then distance between the parallel sides AB and CD =
  • (i)
    8.29 cm
  • (ii)
    7.29 cm
  • (iii)
    5.29 cm
  • (iv)
    6.29 cm
  • (v)
    9.29 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 8.70 cm and area is 95.70 sq.cm, then parallel side CD =
  • (i)
    5.00 cm
  • (ii)
    8.00 cm
  • (iii)
    7.00 cm
  • (iv)
    6.00 cm
  • (v)
    9.00 cm
Question 22
22.
In parallelogram PQRS, if base PQ = 14.00 cm and area is 207.90 sq.cm, the corresponding height to the base PQ is
  • (i)
    14.85 cm
  • (ii)
    9.85 cm
  • (iii)
    17.85 cm
  • (iv)
    11.85 cm
  • (v)
    19.85 cm
Question 23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 10.49 cm and area is 209.80 sq.cm, the base of the parallelogram PQ =
  • (i)
    20.00 cm
  • (ii)
    17.00 cm
  • (iii)
    15.00 cm
  • (iv)
    25.00 cm
  • (v)
    23.00 cm
Question 24
24.
In rhombus PQRS, if one of the diagonals QS = 20.00 cm and area is 323.10 sq.cm, the diagonal PR =
  • (i)
    37.31 cm
  • (ii)
    35.31 cm
  • (iii)
    29.31 cm
  • (iv)
    27.31 cm
  • (v)
    32.31 cm
Question 25
25.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    8832.50 sq.m
  • (ii)
    8702.50 sq.m
  • (iii)
    9102.50 sq.m
  • (iv)
    9182.50 sq.m
  • (v)
    8962.50 sq.m
Question 26
26.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    6600.00 sq.m
  • (ii)
    6820.00 sq.m
  • (iii)
    6650.00 sq.m
  • (iv)
    6470.00 sq.m
  • (v)
    6440.00 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)
    93.00 sq.cm
  • (ii)
    103.00 sq.cm
  • (iii)
    95.00 sq.cm
  • (iv)
    98.00 sq.cm
  • (v)
    101.00 sq.cm
Question 28
28.
In the given figure, find the area of the shaded region
  • (i)
    186.00 sq.cm
  • (ii)
    163.00 sq.cm
  • (iii)
    155.00 sq.cm
  • (iv)
    171.00 sq.cm
  • (v)
    194.00 sq.cm
Question 29
29.
In the given figure, find the area of the shaded region
  • (i)
    275.50 sq.cm
  • (ii)
    292.50 sq.cm
  • (iii)
    314.50 sq.cm
  • (iv)
    299.50 sq.cm
  • (v)
    266.50 sq.cm
    Assignment Key
  •  1) (ii)
  •  2) (v)
  •  3) (ii)
  •  4) (iv)
  •  5) (ii)
  •  6) (iii)
  •  7) (ii)
  •  8) (iii)
  •  9) (i)
  •  10) (ii)
  •  11) (i)
  •  12) (iii)
  •  13) (ii)
  •  14) (i)
  •  15) (i)
  •  16) (iv)
  •  17) (ii)
  •  18) (iv)
  •  19) (iii)
  •  20) (ii)
  •  21) (iii)
  •  22) (i)
  •  23) (i)
  •  24) (v)
  •  25) (v)
  •  26) (i)
  •  27) (iv)
  •  28) (iv)
  •  29) (ii)