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 10.65 cm and 10.98 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    10.98 cm
  • (ii)
    5.98 cm
  • (iii)
    15.98 cm
  • (iv)
    13.98 cm
  • (v)
    7.98 cm
Question 2
2.
In quadrilateral PQRS, if diagonal QS = 12.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 15.32 cm and 14.24 cm respectively, then area of the quadrilateral =
  • (i)
    194.36 sq.cm
  • (ii)
    177.36 sq.cm
  • (iii)
    203.36 sq.cm
  • (iv)
    169.36 sq.cm
  • (v)
    161.36 sq.cm
Question 3
3.
In quadrilateral PQRS, if diagonal QS = 14.00 cm, height of vertex P to the diagonal QS is 7.14 cm and area is 119.28 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    10.90 cm
  • (ii)
    11.90 cm
  • (iii)
    9.90 cm
  • (iv)
    8.90 cm
  • (v)
    7.90 cm
Question 4
4.
In quadrilateral PQRS, if area is 135.28 sq.cm, height of vertex P to the diagonal QS is 6.40 cm, and height of vertex R to the diagonal QS is 7.84 cm, then diagonal QS =
  • (i)
    14.00 cm
  • (ii)
    22.00 cm
  • (iii)
    24.00 cm
  • (iv)
    16.00 cm
  • (v)
    19.00 cm
Question 5
5.
In trapezium ABCD, if distance between the parallel sides is 13.47 cm and lengths of the parallel sides AB = 20.00 cm and CD = 10.00 cm, then area of the trapezium =
  • (i)
    224.05 sq.cm
  • (ii)
    189.05 sq.cm
  • (iii)
    177.05 sq.cm
  • (iv)
    202.05 sq.cm
  • (v)
    208.05 sq.cm
Question 6
6.
In trapezium ABCD, if area is 183.21 sq.cm and lengths of the parallel sides are AB = 19.00 cm and CD = 12.00 cm, then distance between the parallel sides AB and CD =
  • (i)
    6.82 cm
  • (ii)
    16.82 cm
  • (iii)
    11.82 cm
  • (iv)
    8.82 cm
  • (v)
    14.82 cm
Question 7
7.
In trapezium ABCD, if one of the parallel sides AB = 20.00 cm and distance between parallel sides AB and CD is 10.95 cm and area is 158.77 sq.cm, then parallel side CD =
  • (i)
    7.00 cm
  • (ii)
    10.00 cm
  • (iii)
    9.00 cm
  • (iv)
    8.00 cm
  • (v)
    11.00 cm
Question 8
8.
In parallelogram PQRS, if base PQ = 12.00 cm and the corresponding height is 13.98 cm, then area of the parallelogram =
  • (i)
    150.76 sq.cm
  • (ii)
    180.76 sq.cm
  • (iii)
    175.76 sq.cm
  • (iv)
    167.76 sq.cm
  • (v)
    161.76 sq.cm
Question 9
9.
In parallelogram PQRS, if base PQ = 17.00 cm and area is 175.44 sq.cm, the corresponding height to the base PQ is
  • (i)
    7.32 cm
  • (ii)
    13.32 cm
  • (iii)
    10.32 cm
  • (iv)
    5.32 cm
  • (v)
    15.32 cm
Question 10
10.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 14.66 cm and area is 219.90 sq.cm, the base of the parallelogram PQ =
  • (i)
    20.00 cm
  • (ii)
    12.00 cm
  • (iii)
    15.00 cm
  • (iv)
    10.00 cm
  • (v)
    18.00 cm
Question 11
11.
In rhombus PQRS, if diagonals QS = 14.00 cm and PR = 19.49 cm, the area of the rhombus =
  • (i)
    152.43 sq.cm
  • (ii)
    119.43 sq.cm
  • (iii)
    151.43 sq.cm
  • (iv)
    136.43 sq.cm
  • (v)
    124.43 sq.cm
Question 12
12.
In rhombus PQRS, if one of the diagonals QS = 14.00 cm and area is 99.96 sq.cm, the diagonal PR =
  • (i)
    11.28 cm
  • (ii)
    19.28 cm
  • (iii)
    9.28 cm
  • (iv)
    14.28 cm
  • (v)
    17.28 cm
Question 13
13.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    10662.50 sq.m
  • (ii)
    12062.50 sq.m
  • (iii)
    10762.50 sq.m
  • (iv)
    13362.50 sq.m
  • (v)
    14562.50 sq.m
Question 14
14.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    8462.50 sq.m
  • (ii)
    10262.50 sq.m
  • (iii)
    11962.50 sq.m
  • (iv)
    13062.50 sq.m
  • (v)
    8862.50 sq.m
Question 15
15.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    7767.50 sq.m
  • (ii)
    8057.50 sq.m
  • (iii)
    7857.50 sq.m
  • (iv)
    7567.50 sq.m
  • (v)
    7837.50 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)
    198.50 sq.cm
  • (ii)
    155.50 sq.cm
  • (iii)
    166.50 sq.cm
  • (iv)
    197.50 sq.cm
  • (v)
    180.50 sq.cm
Question 17
17.
In the given figure, find the area of the shaded region
  • (i)
    88.50 sq.cm
  • (ii)
    98.50 sq.cm
  • (iii)
    93.50 sq.cm
  • (iv)
    90.50 sq.cm
  • (v)
    96.50 sq.cm
Question 18
18.
In the given figure, find the area of the shaded region
  • (i)
    225.00 sq.cm
  • (ii)
    176.00 sq.cm
  • (iii)
    191.00 sq.cm
  • (iv)
    214.00 sq.cm
  • (v)
    198.00 sq.cm
    Assignment Key
  •  1) (i)
  •  2) (ii)
  •  3) (iii)
  •  4) (v)
  •  5) (iv)
  •  6) (iii)
  •  7) (iii)
  •  8) (iv)
  •  9) (iii)
  •  10) (iii)
  •  11) (iv)
  •  12) (iv)
  •  13) (ii)
  •  14) (ii)
  •  15) (v)
  •  16) (v)
  •  17) (iii)
  •  18) (v)