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)