EduSahara™ Assignment
Name : Perimeter and Area of Complex Shapes
Chapter : Perimeter and Area
Grade : CBSE Grade VII
License : Non Commercial Use
Question 1
1.
In the given figure, the triangle inside the square is an isosceles triangle. Find the area of the shaded region
  • (i)
    162.50 sq.cm
  • (ii)
    132.50 sq.cm
  • (iii)
    131.50 sq.cm
  • (iv)
    160.50 sq.cm
  • (v)
    144.50 sq.cm
Question 2
2.
In the given figure, find the area of the shaded region
  • (i)
    100.00 sq.cm
  • (ii)
    126.00 sq.cm
  • (iii)
    141.00 sq.cm
  • (iv)
    120.00 sq.cm
  • (v)
    139.00 sq.cm
Question 3
3.
In the given figure, find the area of the shaded region
  • (i)
    121.50 sq.cm
  • (ii)
    156.50 sq.cm
  • (iii)
    167.50 sq.cm
  • (iv)
    133.50 sq.cm
  • (v)
    139.50 sq.cm
Question 4
4.
Find the area of the shaded region given below
  • (i)
    384.00 sq.m
  • (ii)
    382.00 sq.m
  • (iii)
    401.00 sq.m
  • (iv)
    396.00 sq.m
  • (v)
    359.00 sq.m
Question 5
5.
Find the area of the shaded region given below
  • (i)
    1199.00 sq.m
  • (ii)
    1179.00 sq.m
  • (iii)
    1049.00 sq.m
  • (iv)
    809.00 sq.m
  • (v)
    879.00 sq.m
Question 6
6.
Find the area of the shaded region given below
  • (i)
    551.00 sq.m
  • (ii)
    567.00 sq.m
  • (iii)
    545.00 sq.m
  • (iv)
    574.00 sq.m
  • (v)
    538.00 sq.m
Question 7
7.
Find the area of the shaded region given below
  • (i)
    475.00 sq.m
  • (ii)
    481.00 sq.m
  • (iii)
    504.00 sq.m
  • (iv)
    454.00 sq.m
  • (v)
    486.00 sq.m
Question 8
8.
Find the area of the shaded region given below
  • (i)
    348.00 sq.m
  • (ii)
    352.00 sq.m
  • (iii)
    325.00 sq.m
  • (iv)
    360.00 sq.m
  • (v)
    343.00 sq.m
Question 9
9.
Find the area of the shaded region given below
  • (i)
    342.00 sq.m
  • (ii)
    370.00 sq.m
  • (iii)
    363.00 sq.m
  • (iv)
    345.00 sq.m
  • (v)
    357.00 sq.m
Question 10
10.
Find the area of the shaded region given below
  • (i)
    370.00 sq.m
  • (ii)
    348.00 sq.m
  • (iii)
    387.00 sq.m
  • (iv)
    363.00 sq.m
  • (v)
    385.00 sq.m
Question 11
11.
Find the area of the shaded region given below
  • (i)
    458.00 sq.m
  • (ii)
    420.00 sq.m
  • (iii)
    444.00 sq.m
  • (iv)
    446.00 sq.m
  • (v)
    427.00 sq.m
Question 12
12.
Find the area of the shaded region given below
  • (i)
    565.00 sq.m
  • (ii)
    588.00 sq.m
  • (iii)
    584.00 sq.m
  • (iv)
    606.00 sq.m
  • (v)
    603.00 sq.m
Question 13
13.
    • A rectangular field is 36 m by 26 m. It has two paths through its centre, running parallel to its sides.
    • The width of the longer and the shorter paths are 6 m and 8 m respectively.
    • Find the total expense involved in laying tiles on the paths at ₹14.2 per 1 sq.m and laying grass in the remaining portion at ₹20.9 per 1 sq.m.
  • (i)
    ₹17043.20
  • (ii)
    ₹17045.20
  • (iii)
    ₹17044.20
  • (iv)
    ₹17042.20
  • (v)
    ₹17041.20
Question 14
14.
    • In the given figure, DEFG is a rectangle in which DE = 13 cm and GD = 24 cm.
    • Also, △SFG is a right angled triangle in which ∠GSF = 90° and SF = 7 cm
    • Find the area of the shaded region
  • (i)
    274.66 sq.cm
  • (ii)
    273.66 sq.cm
  • (iii)
    272.66 sq.cm
  • (iv)
    275.66 sq.cm
  • (v)
    271.66 sq.cm
Question 15
15.
    • In the given figure, ABCD is a rectangle in which AB = 16 cm and DA = 24 cm.
    • Also, △PAB and △QCD are the right angled triangles in which ∠BPA = ∠DQC = 90°, PA = 7 cm and QC = 13 cm.
    • Find the area of the shaded region
  • (i)
    271.02 sq.cm
  • (ii)
    274.02 sq.cm
  • (iii)
    273.02 sq.cm
  • (iv)
    275.02 sq.cm
  • (v)
    272.02 sq.cm
Question 16
16.
Find the area of shaded region in the adjoining figure, given that BC = 16 cm, CD = 28 cm, BE = 12 cm and ∠EBC = ∠BCD = 90°.
  • (i)
    318.00 sq.cm
  • (ii)
    321.00 sq.cm
  • (iii)
    319.00 sq.cm
  • (iv)
    320.00 sq.cm
  • (v)
    322.00 sq.cm
Question 17
17.
Find the area of shaded region in the adjoining figure, given that BC = 15 cm, CD = 27 cm, BE = 16 cm and ∠EBC = ∠BCD = 90°.
  • (i)
    322.50 sq.cm
  • (ii)
    320.50 sq.cm
  • (iii)
    323.50 sq.cm
  • (iv)
    321.50 sq.cm
  • (v)
    324.50 sq.cm
Question 18
18.
Find the area of the shaded region of the adjoining figure, given that ∠NIJ = ∠KJI = 90°, ML ∥ IJ ∥ NK, MO ⟂ NK, LP ⟂ NK, NO = PK, IJ = 32 cm, IN = 9 cm, ML = 16 cm and distance between IJ and ML is 19 cm
  • (i)
    529.00 sq.cm
  • (ii)
    527.00 sq.cm
  • (iii)
    530.00 sq.cm
  • (iv)
    528.00 sq.cm
  • (v)
    526.00 sq.cm
Question 19
19.
Find the area of the shaded region in the adjoining figure, given that HIJK is a square of side 18 cm, JL = 9 cm, MH = 10 cm and IN = 8 cm
  • (i)
    164.00 sq.cm
  • (ii)
    168.00 sq.cm
  • (iii)
    167.00 sq.cm
  • (iv)
    166.00 sq.cm
  • (v)
    165.00 sq.cm
Question 20
20.
Find the area of the shaded region
  • (i)
    337.99 sq.cm
  • (ii)
    338.99 sq.cm
  • (iii)
    341.99 sq.cm
  • (iv)
    339.99 sq.cm
  • (v)
    340.99 sq.cm
Question 21
21.
Find the area of the shaded region
  • (i)
    420.40 sq.cm
  • (ii)
    418.40 sq.cm
  • (iii)
    419.40 sq.cm
  • (iv)
    421.40 sq.cm
  • (v)
    422.40 sq.cm
Question 22
22.
Find the area of the shaded region
  • (i)
    129.00 sq.cm
  • (ii)
    132.00 sq.cm
  • (iii)
    130.00 sq.cm
  • (iv)
    131.00 sq.cm
  • (v)
    128.00 sq.cm
Question 23
23.
Find the area of the shaded region
  • (i)
    571.00 sq.cm
  • (ii)
    572.00 sq.cm
  • (iii)
    568.00 sq.cm
  • (iv)
    570.00 sq.cm
  • (v)
    569.00 sq.cm
Question 24
24.
Find the perimeter of the shaded region given below
  • (i)
    81.00 m
  • (ii)
    86.00 m
  • (iii)
    89.00 m
  • (iv)
    91.00 m
  • (v)
    83.00 m
Question 25
25.
Find the perimeter of the shaded region given below
  • (i)
    164.00 m
  • (ii)
    129.00 m
  • (iii)
    152.00 m
  • (iv)
    166.00 m
  • (v)
    137.00 m
Question 26
26.
Find the perimeter of the shaded region given below
  • (i)
    138.00 m
  • (ii)
    120.00 m
  • (iii)
    105.00 m
  • (iv)
    103.00 m
  • (v)
    137.00 m
Question 27
27.
Find the perimeter of the shaded region given below
  • (i)
    152.00 m
  • (ii)
    176.00 m
  • (iii)
    188.00 m
  • (iv)
    199.00 m
  • (v)
    172.00 m
Question 28
28.
Find the perimeter of the shaded region given below
  • (i)
    172.00 m
  • (ii)
    149.00 m
  • (iii)
    180.00 m
  • (iv)
    138.00 m
  • (v)
    166.00 m
Question 29
29.
Find the perimeter of the shaded region given below
  • (i)
    146.00 m
  • (ii)
    160.00 m
  • (iii)
    129.00 m
  • (iv)
    140.00 m
  • (v)
    164.00 m
Question 30
30.
Find the perimeter of the shaded region given below
  • (i)
    188.00 m
  • (ii)
    139.00 m
  • (iii)
    162.00 m
  • (iv)
    147.00 m
  • (v)
    168.00 m
Question 31
31.
Find the perimeter of the shaded region given below
  • (i)
    166.00 m
  • (ii)
    159.00 m
  • (iii)
    150.00 m
  • (iv)
    191.00 m
  • (v)
    168.00 m
Question 32
32.
Find the perimeter of the shaded region given below
  • (i)
    174.00 m
  • (ii)
    188.00 m
  • (iii)
    189.00 m
  • (iv)
    156.00 m
  • (v)
    161.00 m
    Assignment Key

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