EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Area and Perimeter
Grade : SSC Grade VII
License : Non Commercial Use
Question 1
1.
If the length and area of a rectangle are 12.00 cm and 132.00 sq.cm respectively, the perimeter of the rectangle =
  • (i)
    51.00 cm
  • (ii)
    43.00 cm
  • (iii)
    41.00 cm
  • (iv)
    46.00 cm
  • (v)
    49.00 cm
Question 2
2.
If the inner rectangle area, outer rectangle area and width of a rectangular path are 35.00 sq.cm, 48.00 sq.cm and 0.50 cm respectively, the outer length of the rectangular path =
  • (i)
    6.00 cm
  • (ii)
    10.00 cm
  • (iii)
    9.00 cm
  • (iv)
    7.00 cm
  • (v)
    8.00 cm
Question 3
3.
If the side of a square is 14.00 cm, the perimeter of the square =
  • (i)
    61.00 cm
  • (ii)
    51.00 cm
  • (iii)
    53.00 cm
  • (iv)
    56.00 cm
  • (v)
    59.00 cm
Question 4
4.
In a right angled triangle △PQR, if the area is 82.5 sq.cm and corresponding height of side QR = 15 cm, then side QR =
  • (i)
    11.00 cm
  • (ii)
    14.00 cm
  • (iii)
    16.00 cm
  • (iv)
    6.00 cm
  • (v)
    8.00 cm
Question 5
5.
In an isosceles right angled triangle △PQR, if QR = 20 cm is one of the equal sides, then corresponding height of side PQ =
  • (i)
    23.00 cm
  • (ii)
    17.00 cm
  • (iii)
    20.00 cm
  • (iv)
    15.00 cm
  • (v)
    25.00 cm
Question 6
6.
Find the area of the shaded region given below
  • (i)
    380.00 sq.m
  • (ii)
    371.00 sq.m
  • (iii)
    365.00 sq.m
  • (iv)
    357.00 sq.m
  • (v)
    353.00 sq.m
Question 7
7.
If the outer length, outer breadth and width of a rectangular path are 12.20 cm, 11.20 cm and 2.10 cm respectively, the area of the rectangular path =
  • (i)
    80.64 sq.cm
  • (ii)
    77.64 sq.cm
  • (iii)
    85.64 sq.cm
  • (iv)
    75.64 sq.cm
  • (v)
    83.64 sq.cm
Question 8
8.
If the inner length, inner breadth and width of a rectangular path are 9.00 cm, 6.00 cm and 1.80 cm respectively, the area of the outer rectangle of the rectangular path =
  • (i)
    134.96 sq.cm
  • (ii)
    117.96 sq.cm
  • (iii)
    145.96 sq.cm
  • (iv)
    98.96 sq.cm
  • (v)
    120.96 sq.cm
Question 9
9.
If the breadth and perimeter of a rectangle are 14.00 cm and 64.00 cm respectively, the area of the rectangle =
  • (i)
    249.00 sq.cm
  • (ii)
    266.00 sq.cm
  • (iii)
    252.00 sq.cm
  • (iv)
    238.00 sq.cm
  • (v)
    264.00 sq.cm
Question 10
10.
Find the perimeter of the shaded region given below
  • (i)
    82.00 m
  • (ii)
    100.00 m
  • (iii)
    113.00 m
  • (iv)
    98.00 m
  • (v)
    124.00 m
Question 11
11.
In an isosceles right angled triangle △PQR, if area = 200 sq.cm, then side PQ =
  • (i)
    15.00 cm
  • (ii)
    17.00 cm
  • (iii)
    20.00 cm
  • (iv)
    23.00 cm
  • (v)
    25.00 cm
Question 12
12.
Consider the following parallelograms. Which two parallelograms have the same area?
  • (i)
    MNOP and QRST
  • (ii)
    ABCD and QRST
  • (iii)
    EFGH and MNOP
  • (iv)
    ABCD and EFGH
  • (v)
    EFGH and QRST
Question 13
13.
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 rectangular path =
  • (i)
    45.00 sq.cm
  • (ii)
    51.00 sq.cm
  • (iii)
    48.00 sq.cm
  • (iv)
    43.00 sq.cm
  • (v)
    53.00 sq.cm
Question 14
14.
Consider the following triangles. Which two triangles have the same area?
  • (i)
    △BCD and △KLM
  • (ii)
    △EFG and △HIJ
  • (iii)
    △BCD and △EFG
  • (iv)
    △EFG and △KLM
  • (v)
    △BCD and △HIJ
Question 15
15.
In rhombus PQRS, if diagonals QS = 15.00 cm and PR = 13.23 cm, the area of the rhombus =
  • (i)
    104.23 sq.cm
  • (ii)
    96.23 sq.cm
  • (iii)
    94.23 sq.cm
  • (iv)
    99.23 sq.cm
  • (v)
    102.23 sq.cm
Question 16
16.
In an isosceles right angled triangle △PQR, if QR = 17 cm is one of the equal sides, then area of the triangle =
  • (i)
    147.50 sq.cm
  • (ii)
    156.50 sq.cm
  • (iii)
    144.50 sq.cm
  • (iv)
    130.50 sq.cm
  • (v)
    122.50 sq.cm
Question 17
17.
If the outer length, inner breadth and area of the outer rectangle of a rectangular path are 12.80 cm, 6.00 cm and 138.24 sq.cm respectively, the area of the rectangular path =
  • (i)
    95.24 sq.cm
  • (ii)
    93.24 sq.cm
  • (iii)
    85.24 sq.cm
  • (iv)
    90.24 sq.cm
  • (v)
    87.24 sq.cm
Question 18
18.
In a right angled triangle △PQR, if the base QR = 15 cm and the corresponding height is 20 cm, then corresponding height of side PQ =
  • (i)
    18.00 cm
  • (ii)
    20.00 cm
  • (iii)
    12.00 cm
  • (iv)
    10.00 cm
  • (v)
    15.00 cm
Question 19
19.
If the inner rectangle area, outer rectangle area and width of a rectangular path are 80.00 sq.cm, 236.16 sq.cm and 3.20 cm respectively, the outer breadth of the rectangular path =
  • (i)
    14.40 cm
  • (ii)
    17.40 cm
  • (iii)
    11.40 cm
  • (iv)
    9.40 cm
  • (v)
    19.40 cm
Question 20
20.
In a right angled triangle △PQR, if QR = 19 cm, PQ = 12 cm are the lengths of perpendicular sides , then area of the triangle =
  • (i)
    114.00 sq.cm
  • (ii)
    112.00 sq.cm
  • (iii)
    128.00 sq.cm
  • (iv)
    89.00 sq.cm
Question 21
21.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 10 cm, then corresponding height of side PQ =
  • (i)
    13.00 cm
  • (ii)
    10.00 cm
  • (iii)
    5.00 cm
  • (iv)
    15.00 cm
  • (v)
    7.00 cm
Question 22
22.
Consider the following triangles. Which two triangles have the same area?
  • (i)
    △OAB and △QAB
  • (ii)
    △OAB and △NAB
  • (iii)
    △OAB and △RAB
  • (iv)
    △QAB and △NAB
  • (v)
    △QAB and △RAB
Question 23
23.
Find the area of the shaded region given below
  • (i)
    958.00 sq.m
  • (ii)
    946.00 sq.m
  • (iii)
    944.00 sq.m
  • (iv)
    929.00 sq.m
  • (v)
    972.00 sq.m
Question 24
24.
If the inner length, outer breadth and width of a rectangular path are 9.00 cm, 14.00 cm and 3.50 cm respectively, the area of the rectangular path =
  • (i)
    161.00 sq.cm
  • (ii)
    144.00 sq.cm
  • (iii)
    178.00 sq.cm
  • (iv)
    189.00 sq.cm
  • (v)
    145.00 sq.cm
Question 25
25.
In an isosceles right angled triangle △PQR, if area = 50 sq.cm, then side QR =
  • (i)
    7.00 cm
  • (ii)
    15.00 cm
  • (iii)
    5.00 cm
  • (iv)
    13.00 cm
  • (v)
    10.00 cm
    Assignment Key

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