EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
In an isosceles triangle △ABC, if BC = 17 cm, AB = CA = 11 cm, then area of the triangle =
  • (i)
    62.35 sq.cm
  • (ii)
    54.35 sq.cm
  • (iii)
    56.35 sq.cm
  • (iv)
    59.35 sq.cm
  • (v)
    64.35 sq.cm
Question 2
2.
In rhombus PQRS, if diagonals QS = 16.00 cm and PR = 17.89 cm, the area of the rhombus =
  • (i)
    156.12 sq.cm
  • (ii)
    145.12 sq.cm
  • (iii)
    127.12 sq.cm
  • (iv)
    121.12 sq.cm
  • (v)
    143.12 sq.cm
Question 3
3.
If the width of the ring is 3.00 cm and inner radius is 6.00 cm, the area of the ring is
  • (i)
    126.43 sq.cm
  • (ii)
    158.43 sq.cm
  • (iii)
    129.43 sq.cm
  • (iv)
    141.43 sq.cm
  • (v)
    149.43 sq.cm
Question 4
4.
If diameter of the circle is 20.00 cm, the perimeter of the semicircle is
  • (i)
    48.43 cm
  • (ii)
    54.43 cm
  • (iii)
    51.43 cm
  • (iv)
    46.43 cm
  • (v)
    56.43 cm
Question 5
5.
In a right angled triangle △PQR, if QR = 18 cm is one of the perpendicular sides and RP = 24.76 cm is the hypotenuse, then perimeter of the triangle =
  • (i)
    62.76 cm
  • (ii)
    59.76 cm
  • (iii)
    54.76 cm
  • (iv)
    56.76 cm
  • (v)
    64.76 cm
Question 6
6.
In rhombus PQRS, if one of the diagonals QS = 17.00 cm and area is 189.12 sq.cm, the diagonal PR =
  • (i)
    19.25 cm
  • (ii)
    17.25 cm
  • (iii)
    25.25 cm
  • (iv)
    27.25 cm
  • (v)
    22.25 cm
Question 7
7.
If area of the circle is 254.57 sq.cm, the perimeter of the semicircle is
  • (i)
    43.29 cm
  • (ii)
    49.29 cm
  • (iii)
    46.29 cm
  • (iv)
    51.29 cm
  • (v)
    41.29 cm
Question 8
8.
If the breadth and diagonal of a rectangle are 7.00 cm and 12.21 cm respectively, the perimeter of the rectangle =
  • (i)
    29.00 cm
  • (ii)
    34.00 cm
  • (iii)
    37.00 cm
  • (iv)
    39.00 cm
  • (v)
    31.00 cm
Question 9
9.
In quadrilateral PQRS, if area is 165.48 sq.cm, height of vertex P to the diagonal QS is 9.80 cm, and height of vertex R to the diagonal QS is 17.78 cm, then diagonal QS =
  • (i)
    15.00 cm
  • (ii)
    12.00 cm
  • (iii)
    17.00 cm
  • (iv)
    7.00 cm
  • (v)
    9.00 cm
Question 10
10.
If the breadth and area of a rectangle are 6.00 cm and 102.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    51.00 cm
  • (ii)
    41.00 cm
  • (iii)
    46.00 cm
  • (iv)
    49.00 cm
  • (v)
    43.00 cm
Question 11
11.
In the given figure, ABCD is a square of side 20.00 cm and A, B, C, D are the centres of circular arcs, each of radius 10.00 cm. Find the area of the shaded region
  • (i)
    88.71 sq.cm
  • (ii)
    85.71 sq.cm
  • (iii)
    82.71 sq.cm
  • (iv)
    80.71 sq.cm
  • (v)
    90.71 sq.cm
Question 12
12.
In △PQR, if base QR = 13 cm and the corresponding height of side QR = 8.77 cm, then area of the triangle =
  • (i)
    52.00 sq.cm
  • (ii)
    60.00 sq.cm
  • (iii)
    54.00 sq.cm
  • (iv)
    62.00 sq.cm
  • (v)
    57.00 sq.cm
Question 13
13.
In quadrilateral PQRS, if diagonal QS = 16.00 cm, height of vertex P to the diagonal QS is 11.49 cm and area is 188.48 sq.cm, then height of the vertex R to the diagonal QS is
  • (i)
    17.07 cm
  • (ii)
    7.07 cm
  • (iii)
    15.07 cm
  • (iv)
    12.07 cm
  • (v)
    9.07 cm
Question 14
14.
In an isosceles right angled triangle △PQR, if RP = 15.56 cm is the hypotenuse, then area of the triangle =
  • (i)
    60.50 sq.cm
  • (ii)
    57.50 sq.cm
  • (iii)
    63.50 sq.cm
  • (iv)
    55.50 sq.cm
  • (v)
    65.50 sq.cm
Question 15
15.
If the length and diagonal of a rectangle are 11.00 cm and 14.21 cm respectively, the area of the rectangle =
  • (i)
    94.00 sq.cm
  • (ii)
    102.00 sq.cm
  • (iii)
    99.00 sq.cm
  • (iv)
    104.00 sq.cm
  • (v)
    96.00 sq.cm
Question 16
16.
If the width of a square path is 1.00 cm and outer side is 7.00 cm, the area of the square path =
  • (i)
    29.00 sq.cm
  • (ii)
    24.00 sq.cm
  • (iii)
    21.00 sq.cm
  • (iv)
    19.00 sq.cm
  • (v)
    27.00 sq.cm
Question 17
17.
If the inner length, inner breadth, outer length and outer breadth of a rectangular path are 10.00 cm, 7.00 cm, 15.60 cm and 12.60 cm respectively, the area of the rectangular path =
  • (i)
    143.56 sq.cm
  • (ii)
    102.56 sq.cm
  • (iii)
    126.56 sq.cm
  • (iv)
    121.56 sq.cm
  • (v)
    148.56 sq.cm
Question 18
18.
If the outer and inner sides of a square path are 9.00 cm and 7.00 cm respectively, the area of the square path =
  • (i)
    29.00 sq.cm
  • (ii)
    27.00 sq.cm
  • (iii)
    32.00 sq.cm
  • (iv)
    37.00 sq.cm
  • (v)
    35.00 sq.cm
Question 19
19.
If perimeter of an equilateral triangle 60 cm, the area of the equilateral triangle =
  • (i)
    173.21 sq.cm
  • (ii)
    158.21 sq.cm
  • (iii)
    185.21 sq.cm
  • (iv)
    177.21 sq.cm
  • (v)
    150.21 sq.cm
Question 20
20.
In an isosceles right angled triangle △PQR, if perimeter = 40.97 cm, then area of the triangle =
  • (i)
    72.00 sq.cm
  • (ii)
    77.00 sq.cm
  • (iii)
    69.00 sq.cm
  • (iv)
    75.00 sq.cm
  • (v)
    67.00 sq.cm
Question 21
21.
Find the area of the shaded region
  • (i)
    51.86 sq.cm
  • (ii)
    49.86 sq.cm
  • (iii)
    59.86 sq.cm
  • (iv)
    57.86 sq.cm
  • (v)
    54.86 sq.cm
Question 22
22.
If area of an equilateral triangle is 73.18 sq.cm, the perimeter of the equilateral triangle =
  • (i)
    34.00 cm
  • (ii)
    44.00 cm
  • (iii)
    42.00 cm
  • (iv)
    36.00 cm
  • (v)
    39.00 cm
Question 23
23.
If the width of a square path is 1.00 cm and inner side is 8.00 cm, the area of the square path =
  • (i)
    41.00 sq.cm
  • (ii)
    33.00 sq.cm
  • (iii)
    39.00 sq.cm
  • (iv)
    31.00 sq.cm
  • (v)
    36.00 sq.cm
Question 24
24.
In the given figure, find the area of the shaded region
  • (i)
    149.50 sq.cm
  • (ii)
    123.50 sq.cm
  • (iii)
    110.50 sq.cm
  • (iv)
    128.50 sq.cm
Question 25
25.
In △PQR, if QR = 12 cm, RP = 10 cm and the corresponding height of side QR = 8.59 cm, then area of the triangle =
  • (i)
    46.52 sq.cm
  • (ii)
    54.52 sq.cm
  • (iii)
    56.52 sq.cm
  • (iv)
    51.52 sq.cm
  • (v)
    48.52 sq.cm
    Assignment Key

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