EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Perimeter and Area
Grade : CBSE Grade VII
License : Non Commercial Use
Question 1
1.
If the outer side of a square path is 9.00 cm and area of the square path is 32.00 sq.cm, the inner side of the square path =
  • (i)
    6.00 cm
  • (ii)
    5.00 cm
  • (iii)
    9.00 cm
  • (iv)
    7.00 cm
  • (v)
    8.00 cm
Question 2
2.
If the area of the inner circle of the ring is 113.14 sq.cm and area of outer circle is 201.14 sq.cm, the inner circle area is
  • (i)
    131.14 sq.cm
  • (ii)
    86.14 sq.cm
  • (iii)
    113.14 sq.cm
  • (iv)
    100.14 sq.cm
  • (v)
    127.14 sq.cm
Question 3
3.
If the outer side of a square path is 10.00 cm and area of the square path is 36.00 sq.cm, the width of the square path =
  • (i)
    0.00 cm
  • (ii)
    9.00 cm
  • (iii)
    1.00 cm
  • (iv)
    2.00 cm
  • (v)
    3.00 cm
Question 4
4.
If the outer length, outer breadth and width of a rectangular path are 8.00 cm, 6.00 cm and 0.50 cm respectively, the inner length of the rectangular path =
  • (i)
    5.00 cm
  • (ii)
    7.00 cm
  • (iii)
    9.00 cm
  • (iv)
    8.00 cm
  • (v)
    6.00 cm
Question 5
5.
If area of an equilateral triangle is 62.35 sq.cm, the perimeter of the equilateral triangle =
  • (i)
    31.00 cm
  • (ii)
    39.00 cm
  • (iii)
    41.00 cm
  • (iv)
    33.00 cm
  • (v)
    36.00 cm
Question 6
6.
If the inner and outer radii of a ring are 5.00 cm and 7.00 cm respectively, the outer circle area is
  • (i)
    142.00 sq.cm
  • (ii)
    154.00 sq.cm
  • (iii)
    171.00 sq.cm
  • (iv)
    139.00 sq.cm
  • (v)
    172.00 sq.cm
Question 7
7.
Find the area of the shaded region given below
  • (i)
    360.00 sq.m
  • (ii)
    372.00 sq.m
  • (iii)
    374.00 sq.m
  • (iv)
    358.00 sq.m
  • (v)
    388.00 sq.m
Question 8
8.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 13 cm, then side QR =
  • (i)
    16.00 cm
  • (ii)
    13.00 cm
  • (iii)
    8.00 cm
  • (iv)
    18.00 cm
  • (v)
    10.00 cm
Question 9
9.
If the outer length, inner breadth and area of the inner rectangle of a rectangular path are 11.00 cm, 5.00 cm and 30.00 sq.cm respectively, the outer breadth of the rectangular path =
  • (i)
    5.00 cm
  • (ii)
    15.00 cm
  • (iii)
    13.00 cm
  • (iv)
    10.00 cm
  • (v)
    7.00 cm
Question 10
10.
If the outer radius of the ring is 10.00 cm and area of the ring is 59.71 sq.cm, the inner circle radius is
  • (i)
    8.00 cm
  • (ii)
    11.00 cm
  • (iii)
    7.00 cm
  • (iv)
    9.00 cm
  • (v)
    10.00 cm
Question 11
11.
In △PQR, if corresponding height of side QR = 11.99 cm and area of the triangle = 83.9 sq.cm, then side QR =
  • (i)
    17.00 cm
  • (ii)
    14.00 cm
  • (iii)
    9.00 cm
  • (iv)
    11.00 cm
  • (v)
    19.00 cm
Question 12
12.
If diameter of the circle is 16.00 cm, the area of the circle is
  • (i)
    201.14 sq.cm
  • (ii)
    189.14 sq.cm
  • (iii)
    207.14 sq.cm
  • (iv)
    228.14 sq.cm
Question 13
13.
If the outer length, inner breadth and area of the inner rectangle of a rectangular path are 14.00 cm, 5.00 cm and 45.00 sq.cm respectively, the area of the rectangular path =
  • (i)
    100.00 sq.cm
  • (ii)
    92.00 sq.cm
  • (iii)
    98.00 sq.cm
  • (iv)
    90.00 sq.cm
  • (v)
    95.00 sq.cm
Question 14
14.
If the inner length, inner breadth and width of a rectangular path are 8.00 cm, 5.00 cm and 1.50 cm respectively, the area of the outer rectangle of the rectangular path =
  • (i)
    91.00 sq.cm
  • (ii)
    88.00 sq.cm
  • (iii)
    93.00 sq.cm
  • (iv)
    83.00 sq.cm
  • (v)
    85.00 sq.cm
Question 15
15.
If the inner and outer radii of a ring are 6.00 cm and 10.00 cm respectively, the inner circle area is
  • (i)
    111.14 sq.cm
  • (ii)
    118.14 sq.cm
  • (iii)
    113.14 sq.cm
  • (iv)
    139.14 sq.cm
  • (v)
    96.14 sq.cm
Question 16
16.
If the inner length, outer breadth and area of the inner rectangle of a rectangular path are 9.00 cm, 12.80 cm and 72.00 sq.cm respectively, the width of the rectangular path =
  • (i)
    4.40 cm
  • (ii)
    3.40 cm
  • (iii)
    1.40 cm
  • (iv)
    0.40 cm
  • (v)
    2.40 cm
Question 17
17.
If circumference of the circle is 44.00 cm, the area of the semicircle is
  • (i)
    77.00 sq.cm
  • (ii)
    74.00 sq.cm
  • (iii)
    82.00 sq.cm
  • (iv)
    80.00 sq.cm
  • (v)
    72.00 sq.cm
Question 18
18.
    • 0.6237 sq.m
    • =
  • (i)
    6239.00000 sq.cm
  • (ii)
    6237.00000 sq.cm
  • (iii)
    6238.00000 sq.cm
  • (iv)
    6236.00000 sq.cm
  • (v)
    6235.00000 sq.cm
Question 19
19.
Find the area of the shaded region
  • (i)
    481.00 sq.cm
  • (ii)
    480.00 sq.cm
  • (iii)
    482.00 sq.cm
  • (iv)
    479.00 sq.cm
  • (v)
    478.00 sq.cm
Question 20
20.
If radius of the circle is 8.00 cm, the area of the semicircle is
  • (i)
    112.57 sq.cm
  • (ii)
    105.57 sq.cm
  • (iii)
    78.57 sq.cm
  • (iv)
    83.57 sq.cm
  • (v)
    100.57 sq.cm
Question 21
21.
Find the area of the shaded region of the adjoining figure, given that ∠JEF = ∠GFE = 90°, IH ∥ EF ∥ JG, IK ⟂ JG, HL ⟂ JG, JK = LG, EF = 29 cm, EJ = 9 cm, IH = 13 cm and distance between EF and IH is 19 cm
  • (i)
    473.00 sq.cm
  • (ii)
    469.00 sq.cm
  • (iii)
    470.00 sq.cm
  • (iv)
    472.00 sq.cm
  • (v)
    471.00 sq.cm
Question 22
22.
In a right angled triangle △PQR, if the base QR = 13 cm and the corresponding height is 17 cm, then area of the triangle =
  • (i)
    95.50 sq.cm
  • (ii)
    82.50 sq.cm
  • (iii)
    110.50 sq.cm
  • (iv)
    124.50 sq.cm
  • (v)
    116.50 sq.cm
Question 23
23.
If the breadth and perimeter of a rectangle are 16.00 cm and 70.00 cm respectively, the area of the rectangle =
  • (i)
    279.00 sq.cm
  • (ii)
    312.00 sq.cm
  • (iii)
    287.00 sq.cm
  • (iv)
    330.00 sq.cm
  • (v)
    304.00 sq.cm
Question 24
24.
If area of the circle is 113.14 sq.cm, the radius of the circle is
  • (i)
    8.00 cm
  • (ii)
    7.00 cm
  • (iii)
    5.00 cm
  • (iv)
    4.00 cm
  • (v)
    6.00 cm
Question 25
25.
If the area of the inner circle of the ring is 113.14 sq.cm and area of outer circle is 254.57 sq.cm, the outer circle radius is
  • (i)
    7.00 cm
  • (ii)
    8.00 cm
  • (iii)
    10.00 cm
  • (iv)
    9.00 cm
  • (v)
    11.00 cm
    Assignment Key

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