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 the area of a square is 361.00 sq.cm, the perimeter of the square =
  • (i)
    79.00 cm
  • (ii)
    73.00 cm
  • (iii)
    81.00 cm
  • (iv)
    71.00 cm
  • (v)
    76.00 cm
Question 2
2.
In an isosceles right angled triangle △PQR, if perimeter = 64.87 cm, then area of the triangle =
  • (i)
    195.50 sq.cm
  • (ii)
    180.50 sq.cm
  • (iii)
    208.50 sq.cm
  • (iv)
    162.50 sq.cm
  • (v)
    167.50 sq.cm
Question 3
3.
If the breadth and area of a rectangle are 17.00 cm and 340.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    74.00 cm
  • (ii)
    79.00 cm
  • (iii)
    71.00 cm
  • (iv)
    69.00 cm
  • (v)
    77.00 cm
Question 4
4.
In △PQR, if QR = 17 cm, RP = 10 cm, PQ = 12 cm, then area of the triangle =
  • (i)
    61.94 sq.cm
  • (ii)
    55.94 sq.cm
  • (iii)
    53.94 sq.cm
  • (iv)
    63.94 sq.cm
  • (v)
    58.94 sq.cm
Question 5
5.
If the length and area of a rectangle are 19.00 cm and 342.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    74.00 cm
  • (ii)
    77.00 cm
  • (iii)
    79.00 cm
  • (iv)
    69.00 cm
  • (v)
    71.00 cm
Question 6
6.
In the given figure, arcs of two concentric circles of radii 12.00 cm and 4.80 cm are drawn with center O. If ∠MON = 80°, find the area of the shaded region
  • (i)
    81.48 sq.cm
  • (ii)
    84.48 sq.cm
  • (iii)
    89.48 sq.cm
  • (iv)
    79.48 sq.cm
  • (v)
    87.48 sq.cm
Question 7
7.
In rhombus PQRS, if one of the diagonals QS = 16.00 cm and area is 96.00 sq.cm, the diagonal PR =
  • (i)
    15.00 cm
  • (ii)
    17.00 cm
  • (iii)
    12.00 cm
  • (iv)
    9.00 cm
  • (v)
    7.00 cm
Question 8
8.
If circumference of the circle is 37.71 cm, the area of the semicircle is
  • (i)
    61.57 sq.cm
  • (ii)
    53.57 sq.cm
  • (iii)
    59.57 sq.cm
  • (iv)
    56.57 sq.cm
  • (v)
    51.57 sq.cm
Question 9
9.
If the outer and inner sides of a square path are 10.00 cm and 8.00 cm respectively, the area of the square path =
  • (i)
    36.00 sq.cm
  • (ii)
    39.00 sq.cm
  • (iii)
    41.00 sq.cm
  • (iv)
    31.00 sq.cm
  • (v)
    33.00 sq.cm
Question 10
10.
If the length of the diagonal of a square is 22.62 cm, the perimeter of the square =
  • (i)
    69.00 cm
  • (ii)
    59.00 cm
  • (iii)
    61.00 cm
  • (iv)
    64.00 cm
  • (v)
    67.00 cm
Question 11
11.
If height of an equilateral triangle is 12.99 cm, the area of the equilateral triangle =
  • (i)
    102.43 sq.cm
  • (ii)
    94.43 sq.cm
  • (iii)
    92.43 sq.cm
  • (iv)
    97.43 sq.cm
  • (v)
    100.43 sq.cm
Question 12
12.
In △PQR, if QR = 19 cm, RP = 15 cm and the corresponding height of side QR = 14.18 cm, then perimeter of the triangle =
  • (i)
    51.00 cm
  • (ii)
    54.00 cm
  • (iii)
    49.00 cm
  • (iv)
    57.00 cm
  • (v)
    59.00 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)
    85.00 sq.cm
  • (ii)
    90.00 sq.cm
  • (iii)
    82.00 sq.cm
  • (iv)
    88.00 sq.cm
  • (v)
    80.00 sq.cm
Question 14
14.
In rhombus PQRS, if diagonals QS = 18.00 cm and PR = 12.65 cm, the area of the rhombus =
  • (i)
    116.85 sq.cm
  • (ii)
    99.85 sq.cm
  • (iii)
    131.85 sq.cm
  • (iv)
    101.85 sq.cm
  • (v)
    113.85 sq.cm
Question 15
15.
In a right angled triangle △PQR, if the base QR = 16 cm and the corresponding height is 17 cm, then perimeter of the triangle =
  • (i)
    56.35 cm
  • (ii)
    59.35 cm
  • (iii)
    53.35 cm
  • (iv)
    51.35 cm
  • (v)
    61.35 cm
Question 16
16.
If the outer length, inner breadth and area of the outer rectangle of a rectangular path are 18.00 cm, 8.00 cm and 288.00 sq.cm respectively, the area of the rectangular path =
  • (i)
    206.00 sq.cm
  • (ii)
    185.00 sq.cm
  • (iii)
    223.00 sq.cm
  • (iv)
    230.00 sq.cm
  • (v)
    208.00 sq.cm
Question 17
17.
If the breadth and diagonal of a rectangle are 11.00 cm and 17.80 cm respectively, the perimeter of the rectangle =
  • (i)
    53.00 cm
  • (ii)
    55.00 cm
  • (iii)
    50.00 cm
  • (iv)
    47.00 cm
  • (v)
    45.00 cm
Question 18
18.
In a right angled triangle △PQR, if QR = 17 cm, PQ = 14 cm are the lengths of perpendicular sides , then perimeter of the triangle =
  • (i)
    53.02 cm
  • (ii)
    50.02 cm
  • (iii)
    48.02 cm
  • (iv)
    58.02 cm
  • (v)
    56.02 cm
Question 19
19.
Find the area of the shaded region
  • (i)
    66.93 sq.cm
  • (ii)
    61.93 sq.cm
  • (iii)
    64.93 sq.cm
  • (iv)
    56.93 sq.cm
  • (v)
    58.93 sq.cm
Question 20
20.
If the width of the ring is 1.00 cm and inner radius is 8.00 cm, the area of the ring is
  • (i)
    48.43 sq.cm
  • (ii)
    58.43 sq.cm
  • (iii)
    53.43 sq.cm
  • (iv)
    50.43 sq.cm
  • (v)
    56.43 sq.cm
Question 21
21.
If the area of the inner circle of the ring is 154.00 sq.cm and area of outer circle is 254.57 sq.cm, the area of the ring is
  • (i)
    95.57 sq.cm
  • (ii)
    102.57 sq.cm
  • (iii)
    82.57 sq.cm
  • (iv)
    127.57 sq.cm
  • (v)
    100.57 sq.cm
Question 22
22.
If the side of an equilateral triangle is 20 cm, the height of the equilateral triangle =
  • (i)
    17.32 cm
  • (ii)
    12.32 cm
  • (iii)
    14.32 cm
  • (iv)
    20.32 cm
  • (v)
    22.32 cm
Question 23
23.
If the inner rectangle area, outer rectangle area and width of a rectangular path are 35.00 sq.cm, 80.00 sq.cm and 1.50 cm respectively, the area of the rectangular path =
  • (i)
    45.00 sq.cm
  • (ii)
    40.00 sq.cm
  • (iii)
    50.00 sq.cm
  • (iv)
    48.00 sq.cm
  • (v)
    42.00 sq.cm
Question 24
24.
If the side of an equilateral triangle is 12 cm, the perimeter of the equilateral triangle =
  • (i)
    31.00 cm
  • (ii)
    33.00 cm
  • (iii)
    39.00 cm
  • (iv)
    36.00 cm
  • (v)
    41.00 cm
Question 25
25.
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 6.93 cm respectively, then height of the vertex R to the diagonal QS is
  • (i)
    8.93 cm
  • (ii)
    7.93 cm
  • (iii)
    5.93 cm
  • (iv)
    6.93 cm
  • (v)
    4.93 cm
    Assignment Key

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