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 outer length, inner breadth and area of the inner rectangle of a rectangular path are 12.00 cm, 5.00 cm and 40.00 sq.cm respectively, the area of the rectangular path =
  • (i)
    63.00 sq.cm
  • (ii)
    65.00 sq.cm
  • (iii)
    68.00 sq.cm
  • (iv)
    71.00 sq.cm
  • (v)
    73.00 sq.cm
Question 2
2.
If the inner length, outer breadth and area of the inner rectangle of a rectangular path are 10.00 cm, 14.40 cm and 90.00 sq.cm respectively, the area of the rectangular path =
  • (i)
    117.76 sq.cm
  • (ii)
    131.76 sq.cm
  • (iii)
    158.76 sq.cm
  • (iv)
    144.76 sq.cm
  • (v)
    113.76 sq.cm
Question 3
3.
In an isosceles triangle △ABC, if base BC = 14 cm and area is 49.99 sq.cm, then perimeter of the triangle =
  • (i)
    37.00 cm
  • (ii)
    29.00 cm
  • (iii)
    39.00 cm
  • (iv)
    34.00 cm
  • (v)
    31.00 cm
Question 4
4.
In an isosceles triangle △ABC, if BC = 18 cm, AB = CA = 12 cm, then perimeter of the triangle =
  • (i)
    37.00 cm
  • (ii)
    42.00 cm
  • (iii)
    47.00 cm
  • (iv)
    39.00 cm
  • (v)
    45.00 cm
Question 5
5.
In △PQR, if QR = 15 cm, RP = 18 cm and the corresponding height of side QR = 10.98 cm, then perimeter of the triangle =
  • (i)
    49.00 cm
  • (ii)
    39.00 cm
  • (iii)
    44.00 cm
  • (iv)
    41.00 cm
  • (v)
    47.00 cm
Question 6
6.
In a right angled triangle △PQR, if the base QR = 14 cm and the corresponding height is 16 cm, then perimeter of the triangle =
  • (i)
    54.26 cm
  • (ii)
    48.26 cm
  • (iii)
    46.26 cm
  • (iv)
    51.26 cm
  • (v)
    56.26 cm
Question 7
7.
If perimeter of an equilateral triangle 42 cm, the area of the equilateral triangle =
  • (i)
    84.87 sq.cm
  • (ii)
    79.87 sq.cm
  • (iii)
    87.87 sq.cm
  • (iv)
    89.87 sq.cm
  • (v)
    81.87 sq.cm
Question 8
8.
In an isosceles triangle △ABC, if base BC = 20 cm and the corresponding height is 9.8 cm, then perimeter of the triangle =
  • (i)
    48.00 cm
  • (ii)
    45.00 cm
  • (iii)
    51.00 cm
  • (iv)
    53.00 cm
  • (v)
    43.00 cm
Question 9
9.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 18 cm, then area of the triangle =
  • (i)
    160.00 sq.cm
  • (ii)
    162.00 sq.cm
  • (iii)
    185.00 sq.cm
  • (iv)
    176.00 sq.cm
  • (v)
    140.00 sq.cm
Question 10
10.
If the inner rectangle area, outer rectangle area and width of a rectangular path are 90.00 sq.cm, 342.00 sq.cm and 4.50 cm respectively, the area of the rectangular path =
  • (i)
    254.00 sq.cm
  • (ii)
    228.00 sq.cm
  • (iii)
    245.00 sq.cm
  • (iv)
    266.00 sq.cm
  • (v)
    252.00 sq.cm
Question 11
11.
In an isosceles right angled triangle △PQR, if RP = 19.8 cm is the hypotenuse, then area of the triangle =
  • (i)
    103.00 sq.cm
  • (ii)
    95.00 sq.cm
  • (iii)
    101.00 sq.cm
  • (iv)
    93.00 sq.cm
  • (v)
    98.00 sq.cm
Question 12
12.
In △PQR, if QR = 17 cm, RP = 16 cm, PQ = 16 cm, then area of the triangle =
  • (i)
    115.22 sq.cm
  • (ii)
    88.22 sq.cm
  • (iii)
    122.22 sq.cm
  • (iv)
    131.22 sq.cm
  • (v)
    111.22 sq.cm
Question 13
13.
If the perimeter and diagonal of a rectangle are 72.00 cm and 25.50 cm respectively, the area of the rectangle =
  • (i)
    311.00 sq.cm
  • (ii)
    336.00 sq.cm
  • (iii)
    309.00 sq.cm
  • (iv)
    323.00 sq.cm
  • (v)
    330.00 sq.cm
Question 14
14.
If diameter of the circle is 18.00 cm, the area of the semicircle is
  • (i)
    114.29 sq.cm
  • (ii)
    152.29 sq.cm
  • (iii)
    105.29 sq.cm
  • (iv)
    145.29 sq.cm
  • (v)
    127.29 sq.cm
Question 15
15.
In trapezium ABCD, if one of the parallel sides AB = 20.00 cm and distance between parallel sides AB and CD is 9.35 cm and area is 140.25 sq.cm, then parallel side CD =
  • (i)
    15.00 cm
  • (ii)
    10.00 cm
  • (iii)
    13.00 cm
  • (iv)
    5.00 cm
  • (v)
    7.00 cm
Question 16
16.
If height of an equilateral triangle is 17.32 cm, the area of the equilateral triangle =
  • (i)
    173.21 sq.cm
  • (ii)
    169.21 sq.cm
  • (iii)
    178.21 sq.cm
  • (iv)
    195.21 sq.cm
  • (v)
    160.21 sq.cm
Question 17
17.
If the length and perimeter of a rectangle are 18.00 cm and 70.00 cm respectively, the area of the rectangle =
  • (i)
    293.00 sq.cm
  • (ii)
    300.00 sq.cm
  • (iii)
    322.00 sq.cm
  • (iv)
    334.00 sq.cm
  • (v)
    306.00 sq.cm
Question 18
18.
If the width of a square path is 0.50 cm and outer side is 8.00 cm, the area of the square path =
  • (i)
    20.00 sq.cm
  • (ii)
    10.00 sq.cm
  • (iii)
    12.00 sq.cm
  • (iv)
    15.00 sq.cm
  • (v)
    18.00 sq.cm
Question 19
19.
If circumference of the circle is 44.00 cm, the area of the circle is
  • (i)
    140.00 sq.cm
  • (ii)
    167.00 sq.cm
  • (iii)
    142.00 sq.cm
  • (iv)
    169.00 sq.cm
  • (v)
    154.00 sq.cm
Question 20
20.
In △PQR, if base QR = 13 cm and the corresponding height of side QR = 12.99 cm, then area of the triangle =
  • (i)
    79.43 sq.cm
  • (ii)
    89.43 sq.cm
  • (iii)
    87.43 sq.cm
  • (iv)
    81.43 sq.cm
  • (v)
    84.43 sq.cm
Question 21
21.
If the inner length, outer breadth and area of the outer rectangle of a rectangular path are 9.00 cm, 16.00 cm and 272.00 sq.cm respectively, the area of the rectangular path =
  • (i)
    200.00 sq.cm
  • (ii)
    206.00 sq.cm
  • (iii)
    182.00 sq.cm
  • (iv)
    186.00 sq.cm
  • (v)
    215.00 sq.cm
Question 22
22.
If the length of the diagonal of a square is 25.45 cm, the perimeter of the square =
  • (i)
    67.00 cm
  • (ii)
    72.00 cm
  • (iii)
    75.00 cm
  • (iv)
    69.00 cm
  • (v)
    77.00 cm
Question 23
23.
Find the area of the field shown in the figure. All dimensions are in m
  • (i)
    8702.50 sq.m
  • (ii)
    8782.50 sq.m
  • (iii)
    9042.50 sq.m
  • (iv)
    8862.50 sq.m
  • (v)
    9002.50 sq.m
Question 24
24.
If the width of the ring is 1.00 cm and outer radius is 9.00 cm, the area of the ring is
  • (i)
    48.43 sq.cm
  • (ii)
    53.43 sq.cm
  • (iii)
    56.43 sq.cm
  • (iv)
    58.43 sq.cm
  • (v)
    50.43 sq.cm
Question 25
25.
In an isosceles right angled triangle △PQR, if QR = 17 cm is one of the equal sides, then perimeter of the triangle =
  • (i)
    61.04 cm
  • (ii)
    58.04 cm
  • (iii)
    55.04 cm
  • (iv)
    63.04 cm
  • (v)
    53.04 cm
    Assignment Key

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