EduSahara™ Assignment
Name : Perimeter and Area of Quadrilaterals
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
In quadrilateral PQRS, if diagonal QS = 16.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 9.12 cm and 10.65 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    5.65 cm
  • (ii)
    7.65 cm
  • (iii)
    10.65 cm
  • (iv)
    13.65 cm
  • (v)
    15.65 cm
Question 2
2.
In quadrilateral PQRS, if diagonal QS = 19.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 11.82 cm and 6.47 cm respectively, then area of the quadrilateral =
  • (i)
    173.75 sq.cm
  • (ii)
    180.75 sq.cm
  • (iii)
    159.75 sq.cm
  • (iv)
    167.75 sq.cm
  • (v)
    188.75 sq.cm
Question 3
3.
In quadrilateral PQRS, if diagonal QS = 10.00 cm, height of vertex P to the diagonal QS is 12.81 cm and area is 128.95 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    17.98 cm
  • (ii)
    12.98 cm
  • (iii)
    9.98 cm
  • (iv)
    7.98 cm
  • (v)
    15.98 cm
Question 4
4.
In quadrilateral PQRS, if area is 130.55 sq.cm, height of vertex P to the diagonal QS is 7.81 cm, and height of vertex R to the diagonal QS is 10.84 cm, then diagonal QS =
  • (i)
    17.00 cm
  • (ii)
    19.00 cm
  • (iii)
    9.00 cm
  • (iv)
    14.00 cm
  • (v)
    11.00 cm
Question 5
5.
In trapezium ABCD, if distance between the parallel sides is 10.47 cm and lengths of the parallel sides AB = 17.00 cm and CD = 8.00 cm, then area of the trapezium =
  • (i)
    127.88 sq.cm
  • (ii)
    130.88 sq.cm
  • (iii)
    144.88 sq.cm
  • (iv)
    152.88 sq.cm
  • (v)
    104.88 sq.cm
Question 6
6.
In trapezium ABCD, if area is 149.12 sq.cm and lengths of the parallel sides are AB = 18.00 cm and CD = 7.00 cm, then distance between the parallel sides AB and CD =
  • (i)
    8.93 cm
  • (ii)
    16.93 cm
  • (iii)
    6.93 cm
  • (iv)
    11.93 cm
  • (v)
    14.93 cm
Question 7
7.
In trapezium ABCD, if one of the parallel sides AB = 19.00 cm and distance between parallel sides AB and CD is 8.68 cm and area is 125.86 sq.cm, then parallel side CD =
  • (i)
    15.00 cm
  • (ii)
    13.00 cm
  • (iii)
    7.00 cm
  • (iv)
    10.00 cm
  • (v)
    5.00 cm
Question 8
8.
In parallelogram PQRS, if base PQ = 18.00 cm and the corresponding height is 6.29 cm, then area of the parallelogram =
  • (i)
    110.22 sq.cm
  • (ii)
    131.22 sq.cm
  • (iii)
    97.22 sq.cm
  • (iv)
    113.22 sq.cm
  • (v)
    127.22 sq.cm
Question 9
9.
In parallelogram PQRS, if base PQ = 14.00 cm and area is 181.16 sq.cm, the corresponding height to the base PQ is
  • (i)
    7.94 cm
  • (ii)
    9.94 cm
  • (iii)
    12.94 cm
  • (iv)
    17.94 cm
  • (v)
    15.94 cm
Question 10
10.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 6.40 cm and area is 121.60 sq.cm, the base of the parallelogram PQ =
  • (i)
    14.00 cm
  • (ii)
    24.00 cm
  • (iii)
    16.00 cm
  • (iv)
    19.00 cm
  • (v)
    22.00 cm
Question 11
11.
In rhombus PQRS, if diagonals QS = 12.00 cm and PR = 33.94 cm, the area of the rhombus =
  • (i)
    190.64 sq.cm
  • (ii)
    207.64 sq.cm
  • (iii)
    225.64 sq.cm
  • (iv)
    203.64 sq.cm
Question 12
12.
In rhombus PQRS, if one of the diagonals QS = 14.00 cm and area is 118.79 sq.cm, the diagonal PR =
  • (i)
    16.97 cm
  • (ii)
    13.97 cm
  • (iii)
    19.97 cm
  • (iv)
    11.97 cm
  • (v)
    21.97 cm
Question 13
13.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    8627.50 sq.m
  • (ii)
    8687.50 sq.m
  • (iii)
    8507.50 sq.m
  • (iv)
    8727.50 sq.m
  • (v)
    8917.50 sq.m
Question 14
14.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    6045.00 sq.m
  • (ii)
    6095.00 sq.m
  • (iii)
    6305.00 sq.m
  • (iv)
    5935.00 sq.m
  • (v)
    6075.00 sq.m
Question 15
15.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    10950.00 sq.m
  • (ii)
    13350.00 sq.m
  • (iii)
    11750.00 sq.m
  • (iv)
    13050.00 sq.m
  • (v)
    10550.00 sq.m
Question 16
16.
In the given figure, the triangle inside the square is an isosceles triangle. Find the area of the shaded region
  • (i)
    213.00 sq.cm
  • (ii)
    200.00 sq.cm
  • (iii)
    186.00 sq.cm
  • (iv)
    206.00 sq.cm
  • (v)
    193.00 sq.cm
Question 17
17.
In the given figure, find the area of the shaded region
  • (i)
    186.00 sq.cm
  • (ii)
    165.00 sq.cm
  • (iii)
    153.00 sq.cm
  • (iv)
    180.00 sq.cm
  • (v)
    206.00 sq.cm
Question 18
18.
In the given figure, find the area of the shaded region
  • (i)
    204.00 sq.cm
  • (ii)
    209.00 sq.cm
  • (iii)
    212.00 sq.cm
  • (iv)
    221.00 sq.cm
  • (v)
    195.00 sq.cm
    Assignment Key
  •  1) (iii)
  •  2) (i)
  •  3) (ii)
  •  4) (iv)
  •  5) (ii)
  •  6) (iv)
  •  7) (iv)
  •  8) (iv)
  •  9) (iii)
  •  10) (iv)
  •  11) (iv)
  •  12) (i)
  •  13) (ii)
  •  14) (v)
  •  15) (iii)
  •  16) (ii)
  •  17) (iv)
  •  18) (ii)