EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
If circumference of the circle is 50.29 cm, the perimeter of the semicircle is
  • (i)
    41.14 cm
  • (ii)
    46.14 cm
  • (iii)
    44.14 cm
  • (iv)
    36.14 cm
  • (v)
    38.14 cm
Question 2
2.
If the perimeter of a square is 80.00 cm, the area of the square =
  • (i)
    398.00 sq.cm
  • (ii)
    407.00 sq.cm
  • (iii)
    386.00 sq.cm
  • (iv)
    400.00 sq.cm
  • (v)
    424.00 sq.cm
Question 3
3.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    9475.00 sq.m
  • (ii)
    11075.00 sq.m
  • (iii)
    13275.00 sq.m
  • (iv)
    9275.00 sq.m
  • (v)
    12575.00 sq.m
Question 4
4.
In an isosceles triangle △ABC, if BC = 20 cm, CA = AB and perimeter is 44 cm, then area of the triangle =
  • (i)
    66.33 sq.cm
  • (ii)
    69.33 sq.cm
  • (iii)
    61.33 sq.cm
  • (iv)
    63.33 sq.cm
  • (v)
    71.33 sq.cm
Question 5
5.
In the given figure, d = 16.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    417.29 sq.cm
  • (ii)
    430.29 sq.cm
  • (iii)
    402.29 sq.cm
  • (iv)
    388.29 sq.cm
  • (v)
    395.29 sq.cm
Question 6
6.
In a right angled triangle △PQR, if the area is 85 sq.cm and base QR = 17 cm, then perimeter of the triangle =
  • (i)
    49.72 cm
  • (ii)
    43.72 cm
  • (iii)
    51.72 cm
  • (iv)
    46.72 cm
  • (v)
    41.72 cm
Question 7
7.
In the given figure, the triangle inside the square is an isosceles triangle. Find the area of the shaded region
  • (i)
    180.50 sq.cm
  • (ii)
    166.50 sq.cm
  • (iii)
    195.50 sq.cm
  • (iv)
    192.50 sq.cm
  • (v)
    157.50 sq.cm
Question 8
8.
If circumference of the circle is 62.86 cm, the area of the semicircle is
  • (i)
    152.14 sq.cm
  • (ii)
    174.14 sq.cm
  • (iii)
    139.14 sq.cm
  • (iv)
    157.14 sq.cm
  • (v)
    173.14 sq.cm
Question 9
9.
If the outer length, outer breadth and width of a rectangular path are 11.80 cm, 10.80 cm and 0.90 cm respectively, the area of the rectangular path =
  • (i)
    37.44 sq.cm
  • (ii)
    42.44 sq.cm
  • (iii)
    40.44 sq.cm
  • (iv)
    34.44 sq.cm
  • (v)
    32.44 sq.cm
Question 10
10.
In rhombus PQRS, if diagonals QS = 19.00 cm and PR = 23.22 cm, the area of the rhombus =
  • (i)
    232.59 sq.cm
  • (ii)
    237.59 sq.cm
  • (iii)
    206.59 sq.cm
  • (iv)
    197.59 sq.cm
  • (v)
    220.59 sq.cm
Question 11
11.
If the length and diagonal of a rectangle are 18.00 cm and 23.43 cm respectively, the area of the rectangle =
  • (i)
    252.00 sq.cm
  • (ii)
    244.00 sq.cm
  • (iii)
    286.00 sq.cm
  • (iv)
    282.00 sq.cm
  • (v)
    270.00 sq.cm
Question 12
12.
In △PQR, if QR = 15 cm, RP = 12 cm, PQ = 11 cm, then area of the triangle =
  • (i)
    65.24 sq.cm
  • (ii)
    68.24 sq.cm
  • (iii)
    70.24 sq.cm
  • (iv)
    62.24 sq.cm
  • (v)
    60.24 sq.cm
Question 13
13.
If the inner length, outer breadth and area of the inner rectangle of a rectangular path are 7.00 cm, 10.00 cm and 35.00 sq.cm respectively, the area of the rectangular path =
  • (i)
    90.00 sq.cm
  • (ii)
    88.00 sq.cm
  • (iii)
    82.00 sq.cm
  • (iv)
    85.00 sq.cm
  • (v)
    80.00 sq.cm
Question 14
14.
In a right angled triangle △PQR, if the base QR = 14 cm and the corresponding height is 20 cm, then perimeter of the triangle =
  • (i)
    63.41 cm
  • (ii)
    53.41 cm
  • (iii)
    58.41 cm
  • (iv)
    61.41 cm
  • (v)
    55.41 cm
Question 15
15.
In an isosceles triangle △ABC, if base BC = 17 cm and the corresponding height is 12.36 cm, then area of the triangle =
  • (i)
    128.05 sq.cm
  • (ii)
    105.05 sq.cm
  • (iii)
    92.05 sq.cm
  • (iv)
    110.05 sq.cm
  • (v)
    103.05 sq.cm
Question 16
16.
If the length of the diagonal of a square is 26.87 cm, the perimeter of the square =
  • (i)
    76.00 cm
  • (ii)
    73.00 cm
  • (iii)
    79.00 cm
  • (iv)
    81.00 cm
  • (v)
    71.00 cm
Question 17
17.
In an isosceles triangle △ABC, if BC = 20 cm, AB = CA = 17 cm, then perimeter of the triangle =
  • (i)
    54.00 cm
  • (ii)
    59.00 cm
  • (iii)
    49.00 cm
  • (iv)
    51.00 cm
  • (v)
    57.00 cm
Question 18
18.
In the given figure, ABCD is a square of side 19.00 cm and A, B, C, D are the centres of circular arcs, each of radius 9.50 cm. Find the area of the shaded region
  • (i)
    77.36 sq.cm
  • (ii)
    80.36 sq.cm
  • (iii)
    74.36 sq.cm
  • (iv)
    82.36 sq.cm
  • (v)
    72.36 sq.cm
Question 19
19.
In the given figure, ABCD is a square of side 19.00 cm . At the centre there is a circle with radius 4.75 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    225.18 sq.cm
  • (ii)
    219.18 sq.cm
  • (iii)
    193.18 sq.cm
  • (iv)
    211.18 sq.cm
  • (v)
    242.18 sq.cm
Question 20
20.
In an isosceles triangle △ABC, if BC = 17 cm, AB = CA = 13 cm, then area of the triangle =
  • (i)
    83.61 sq.cm
  • (ii)
    80.61 sq.cm
  • (iii)
    88.61 sq.cm
  • (iv)
    78.61 sq.cm
  • (v)
    86.61 sq.cm
Question 21
21.
If the width of a square path is 0.50 cm and inner side is 9.00 cm, the area of the square path =
  • (i)
    22.00 sq.cm
  • (ii)
    24.00 sq.cm
  • (iii)
    16.00 sq.cm
  • (iv)
    14.00 sq.cm
  • (v)
    19.00 sq.cm
Question 22
22.
If the breadth and diagonal of a rectangle are 11.00 cm and 17.03 cm respectively, the area of the rectangle =
  • (i)
    127.00 sq.cm
  • (ii)
    148.00 sq.cm
  • (iii)
    143.00 sq.cm
  • (iv)
    121.00 sq.cm
  • (v)
    170.00 sq.cm
Question 23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 11.12 cm and area is 222.40 sq.cm, the base of the parallelogram PQ =
  • (i)
    20.00 cm
  • (ii)
    15.00 cm
  • (iii)
    23.00 cm
  • (iv)
    17.00 cm
  • (v)
    25.00 cm
Question 24
24.
In quadrilateral PQRS, if area is 294.50 sq.cm, height of vertex P to the diagonal QS is 15.54 cm, and height of vertex R to the diagonal QS is 13.91 cm, then diagonal QS =
  • (i)
    23.00 cm
  • (ii)
    15.00 cm
  • (iii)
    17.00 cm
  • (iv)
    20.00 cm
  • (v)
    25.00 cm
Question 25
25.
If area of an equilateral triangle is 84.87 sq.cm, the perimeter of the equilateral triangle =
  • (i)
    47.00 cm
  • (ii)
    37.00 cm
  • (iii)
    39.00 cm
  • (iv)
    42.00 cm
  • (v)
    45.00 cm
    Assignment Key

  •  1) (i)
  •  2) (iv)
  •  3) (ii)
  •  4) (i)
  •  5) (iii)
  •  6) (iv)
  •  7) (i)
  •  8) (iv)
  •  9) (i)
  •  10) (v)
  •  11) (v)
  •  12) (i)
  •  13) (iv)
  •  14) (iii)
  •  15) (ii)
  •  16) (i)
  •  17) (i)
  •  18) (i)
  •  19) (ii)
  •  20) (i)
  •  21) (v)
  •  22) (iii)
  •  23) (i)
  •  24) (iv)
  •  25) (iv)