EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
In △PQR, if QR = 12 cm, RP = 11 cm and perimeter = 33 cm, then area of the triangle =
  • (i)
    46.52 sq.cm
  • (ii)
    56.52 sq.cm
  • (iii)
    54.52 sq.cm
  • (iv)
    51.52 sq.cm
  • (v)
    48.52 sq.cm
Question 2
2.
If the area of the inner circle of the ring is 78.57 sq.cm and area of outer circle is 314.29 sq.cm, the outer circle radius is
  • (i)
    10.00 cm
  • (ii)
    15.00 cm
  • (iii)
    13.00 cm
  • (iv)
    5.00 cm
  • (v)
    7.00 cm
Question 3
3.
Find the area of the shaded region
  • (i)
    91.36 sq.cm
  • (ii)
    93.36 sq.cm
  • (iii)
    101.36 sq.cm
  • (iv)
    96.36 sq.cm
  • (v)
    99.36 sq.cm
Question 4
4.
If the outer and inner sides of a square path are 10.00 cm and 9.00 cm respectively, the area of the outer square =
  • (i)
    77.00 sq.cm
  • (ii)
    115.00 sq.cm
  • (iii)
    108.00 sq.cm
  • (iv)
    84.00 sq.cm
  • (v)
    100.00 sq.cm
Question 5
5.
If the outer length, inner breadth and area of the inner rectangle of a rectangular path are 12.20 cm, 8.00 cm and 72.00 sq.cm respectively, the area of the rectangular path =
  • (i)
    61.64 sq.cm
  • (ii)
    69.64 sq.cm
  • (iii)
    67.64 sq.cm
  • (iv)
    59.64 sq.cm
  • (v)
    64.64 sq.cm
Question 6
6.
If circumference of the circle is 62.86 cm, the area of the circle is
  • (i)
    314.29 sq.cm
  • (ii)
    330.29 sq.cm
  • (iii)
    316.29 sq.cm
  • (iv)
    297.29 sq.cm
  • (v)
    309.29 sq.cm
Question 7
7.
If the width of the ring is 2.00 cm and inner radius is 8.00 cm, the inner circle area is
  • (i)
    219.14 sq.cm
  • (ii)
    176.14 sq.cm
  • (iii)
    217.14 sq.cm
  • (iv)
    188.14 sq.cm
  • (v)
    201.14 sq.cm
Question 8
8.
If the outer and inner sides of a square path are 10.00 cm and 9.00 cm respectively, the area of the inner square =
  • (i)
    84.00 sq.cm
  • (ii)
    78.00 sq.cm
  • (iii)
    76.00 sq.cm
  • (iv)
    86.00 sq.cm
  • (v)
    81.00 sq.cm
Question 9
9.
Find the area of the shaded region
  • (i)
    433.00 sq.cm
  • (ii)
    434.00 sq.cm
  • (iii)
    432.00 sq.cm
  • (iv)
    430.00 sq.cm
  • (v)
    431.00 sq.cm
Question 10
10.
If the area and diagonal of a rectangle are 304.00 sq.cm and 24.84 cm respectively, the breadth of the rectangle =
  • (i)
    11.00 cm
  • (ii)
    19.00 cm
  • (iii)
    21.00 cm
  • (iv)
    13.00 cm
  • (v)
    16.00 cm
Question 11
11.
In an isosceles triangle △ABC, the corresponding height of the side BC is 11.78 cm and area is 64.79 sq.cm, then perimeter of the triangle =
  • (i)
    34.00 cm
  • (ii)
    42.00 cm
  • (iii)
    32.00 cm
  • (iv)
    37.00 cm
  • (v)
    40.00 cm
Question 12
12.
If the outer radius of the ring is 9.00 cm and area of the ring is 100.57 sq.cm, the outer circle area is
  • (i)
    254.57 sq.cm
  • (ii)
    231.57 sq.cm
  • (iii)
    249.57 sq.cm
  • (iv)
    272.57 sq.cm
Question 13
13.
Find the perimeter of the shaded region given below
  • (i)
    138.00 m
  • (ii)
    161.00 m
  • (iii)
    166.00 m
  • (iv)
    183.00 m
  • (v)
    180.00 m
Question 14
14.
If area of an equilateral triangle is 173.21 sq.cm, the perimeter of the equilateral triangle =
  • (i)
    57.00 cm
  • (ii)
    60.00 cm
  • (iii)
    65.00 cm
  • (iv)
    63.00 cm
  • (v)
    55.00 cm
Question 15
15.
Find the area of the shaded region given below
  • (i)
    448.00 sq.m
  • (ii)
    460.00 sq.m
  • (iii)
    487.00 sq.m
  • (iv)
    474.00 sq.m
  • (v)
    481.00 sq.m
Question 16
16.
Find the area of the shaded region
  • (i)
    349.00 sq.m
  • (ii)
    346.00 sq.m
  • (iii)
    348.00 sq.m
  • (iv)
    350.00 sq.m
  • (v)
    347.00 sq.m
Question 17
17.
If the inner rectangle area, outer rectangle area and width of a rectangular path are 30.00 sq.cm, 42.00 sq.cm and 0.50 cm respectively, the area of the rectangular path =
  • (i)
    17.00 sq.cm
  • (ii)
    15.00 sq.cm
  • (iii)
    9.00 sq.cm
  • (iv)
    12.00 sq.cm
  • (v)
    7.00 sq.cm
Question 18
18.
If the area of a square is 324.00 sq.cm, the length of the diagonal of the square =
  • (i)
    30.45 cm
  • (ii)
    25.45 cm
  • (iii)
    20.45 cm
  • (iv)
    28.45 cm
  • (v)
    22.45 cm
Question 19
19.
In △PQR, if QR = 17 cm, RP = 10 cm, PQ = 15 cm, then area of the triangle =
  • (i)
    77.46 sq.cm
  • (ii)
    79.46 sq.cm
  • (iii)
    71.46 sq.cm
  • (iv)
    69.46 sq.cm
  • (v)
    74.46 sq.cm
Question 20
20.
In an isosceles right angled triangle △PQR, if perimeter = 61.46 cm, then side RP =
  • (i)
    25.46 cm
  • (ii)
    28.46 cm
  • (iii)
    20.46 cm
  • (iv)
    22.46 cm
  • (v)
    30.46 cm
Question 21
21.
If the perimeter and area of a rectangle are 60.00 cm and 221.00 sq.cm respectively, the breadth of the rectangle =
  • (i)
    13.00 cm
  • (ii)
    16.00 cm
  • (iii)
    8.00 cm
  • (iv)
    10.00 cm
  • (v)
    18.00 cm
Question 22
22.
If the inner and outer radii of a ring are 8.00 cm and 10.00 cm respectively, the area of the ring is
  • (i)
    113.14 sq.cm
  • (ii)
    120.14 sq.cm
  • (iii)
    98.14 sq.cm
  • (iv)
    110.14 sq.cm
  • (v)
    129.14 sq.cm
Question 23
23.
If diameter of the circle is 14.00 cm, the radius of the circle is
  • (i)
    7.00 cm
  • (ii)
    5.00 cm
  • (iii)
    9.00 cm
  • (iv)
    6.00 cm
  • (v)
    8.00 cm
Question 24
24.
If the areas of inner and outer squares of a square path are 49.00 sq.cm and 64.00 sq.cm respectively, the width of the square path =
  • (i)
    7.50 cm
  • (ii)
    1.50 cm
  • (iii)
    8.50 cm
  • (iv)
    0.50 cm
  • (v)
    2.50 cm
Question 25
25.
If the width of the ring is 2.00 cm and outer radius is 10.00 cm, the area of the ring is
  • (i)
    101.14 sq.cm
  • (ii)
    136.14 sq.cm
  • (iii)
    98.14 sq.cm
  • (iv)
    117.14 sq.cm
  • (v)
    113.14 sq.cm
    Assignment Key

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