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)
183.50 sq.cm
(ii)
166.50 sq.cm
(iii)
180.50 sq.cm
(iv)
152.50 sq.cm
(v)
198.50 sq.cm
Question
2
2.
In the given figure, find the area of the shaded region
(i)
136.50 sq.cm
(ii)
158.50 sq.cm
(iii)
174.50 sq.cm
(iv)
161.50 sq.cm
(v)
173.50 sq.cm
Question
3
3.
In the given figure, find the area of the shaded region
(i)
172.00 sq.cm
(ii)
133.00 sq.cm
(iii)
155.00 sq.cm
(iv)
147.00 sq.cm
(v)
150.00 sq.cm
Question
4
4.
Find the area of the shaded region given below
(i)
299.00 sq.m
(ii)
308.00 sq.m
(iii)
340.00 sq.m
(iv)
326.00 sq.m
(v)
341.00 sq.m
Question
5
5.
Find the area of the shaded region given below
(i)
1022.00 sq.m
(ii)
1292.00 sq.m
(iii)
952.00 sq.m
(iv)
872.00 sq.m
(v)
1202.00 sq.m
Question
6
6.
Find the area of the shaded region given below
(i)
551.00 sq.m
(ii)
590.00 sq.m
(iii)
552.00 sq.m
(iv)
570.00 sq.m
(v)
564.00 sq.m
Question
7
7.
Find the area of the shaded region given below
(i)
384.00 sq.m
(ii)
352.00 sq.m
(iii)
333.00 sq.m
(iv)
357.00 sq.m
(v)
361.00 sq.m
Question
8
8.
Find the area of the shaded region given below
(i)
334.00 sq.m
(ii)
349.00 sq.m
(iii)
363.00 sq.m
(iv)
345.00 sq.m
(v)
361.00 sq.m
Question
9
9.
Find the area of the shaded region given below
(i)
391.00 sq.m
(ii)
353.00 sq.m
(iii)
371.00 sq.m
(iv)
375.00 sq.m
(v)
390.00 sq.m
Question
10
10.
Find the area of the shaded region given below
(i)
422.00 sq.m
(ii)
446.00 sq.m
(iii)
463.00 sq.m
(iv)
436.00 sq.m
(v)
440.00 sq.m
Question
11
11.
Find the area of the shaded region given below
(i)
641.00 sq.m
(ii)
658.00 sq.m
(iii)
666.00 sq.m
(iv)
643.00 sq.m
(v)
684.00 sq.m
Question
12
12.
Find the area of the shaded region given below
(i)
422.00 sq.m
(ii)
427.00 sq.m
(iii)
406.00 sq.m
(iv)
410.00 sq.m
(v)
445.00 sq.m
Question
13
13.
A rectangular field is 37 m by 29 m. It has two paths through its centre, running parallel to its sides.
The width of the longer and the shorter paths are 13 m and 11 m respectively.
Find the total expense involved in laying tiles on the paths at ₹17.2 per 1 sq.m and laying grass in the remaining portion at ₹28.7 per 1 sq.m.
(i)
₹23240.60
(ii)
₹23241.60
(iii)
₹23237.60
(iv)
₹23239.60
(v)
₹23238.60
Question
14
14.
In the given figure, BCDE is a rectangle in which BC = 12 cm and EB = 24 cm.
Also, △RBC is a right angled triangle in which ∠CRB = 90° and RB = 9 cm
Find the area of the shaded region
(i)
254.28 sq.cm
(ii)
252.28 sq.cm
(iii)
250.28 sq.cm
(iv)
253.28 sq.cm
(v)
251.28 sq.cm
Question
15
15.
In the given figure, EFGH is a rectangle in which EF = 14 cm and HE = 28 cm.
Also, △TEF and △UGH are the right angled triangles in which ∠FTE = ∠HUG = 90°, TE = 10 cm and UG = 8 cm.
Find the area of the shaded region
(i)
298.05 sq.cm
(ii)
299.05 sq.cm
(iii)
296.05 sq.cm
(iv)
297.05 sq.cm
(v)
295.05 sq.cm
Question
16
16.
Find the area of shaded region in the adjoining figure, given that EF = 14 cm, FG = 28 cm, EH = 11 cm and ∠HEF = ∠EFG = 90°.
(i)
273.00 sq.cm
(ii)
272.00 sq.cm
(iii)
274.00 sq.cm
(iv)
275.00 sq.cm
(v)
271.00 sq.cm
Question
17
17.
Find the area of shaded region in the adjoining figure, given that CD = 13 cm, DE = 25 cm, CF = 14 cm and ∠FCD = ∠CDE = 90°.
(i)
254.50 sq.cm
(ii)
253.50 sq.cm
(iii)
251.50 sq.cm
(iv)
252.50 sq.cm
(v)
255.50 sq.cm
Question
18
18.
Find the area of the shaded region of the adjoining figure, given that ∠GBC = ∠DCB = 90°, FE ∥ BC ∥ GD, FH ⟂ GD, EI ⟂ GD, GH = ID, BC = 28 cm, BG = 13 cm, FE = 4 cm and distance between BC and FE is 23 cm
(i)
526.00 sq.cm
(ii)
524.00 sq.cm
(iii)
525.00 sq.cm
(iv)
522.00 sq.cm
(v)
523.00 sq.cm
Question
19
19.
Find the area of the shaded region in the adjoining figure, given that BCDE is a square of side 18 cm, DF = 7 cm, GB = 12 cm and CH = 8 cm
(i)
157.00 sq.cm
(ii)
160.00 sq.cm
(iii)
159.00 sq.cm
(iv)
158.00 sq.cm
(v)
161.00 sq.cm
Question
20
20.
Find the area of the shaded region
(i)
289.80 sq.cm
(ii)
288.80 sq.cm
(iii)
290.80 sq.cm
(iv)
292.80 sq.cm
(v)
291.80 sq.cm
Question
21
21.
Find the area of the shaded region
(i)
355.23 sq.cm
(ii)
353.23 sq.cm
(iii)
356.23 sq.cm
(iv)
352.23 sq.cm
(v)
354.23 sq.cm
Question
22
22.
Find the area of the shaded region
(i)
173.50 sq.cm
(ii)
172.50 sq.cm
(iii)
171.50 sq.cm
(iv)
170.50 sq.cm
(v)
174.50 sq.cm
Question
23
23.
Find the area of the shaded region
(i)
520.00 sq.cm
(ii)
519.00 sq.cm
(iii)
522.00 sq.cm
(iv)
521.00 sq.cm
(v)
518.00 sq.cm
Question
24
24.
Find the perimeter of the shaded region given below
(i)
97.00 m
(ii)
91.00 m
(iii)
89.00 m
(iv)
94.00 m
(v)
99.00 m
Question
25
25.
Find the perimeter of the shaded region given below
(i)
174.00 m
(ii)
143.00 m
(iii)
186.00 m
(iv)
160.00 m
Question
26
26.
Find the perimeter of the shaded region given below
(i)
128.00 m
(ii)
141.00 m
(iii)
120.00 m
(iv)
113.00 m
(v)
134.00 m
Question
27
27.
Find the perimeter of the shaded region given below
(i)
161.00 m
(ii)
168.00 m
(iii)
154.00 m
(iv)
182.00 m
(v)
195.00 m
Question
28
28.
Find the perimeter of the shaded region given below
(i)
168.00 m
(ii)
152.00 m
(iii)
173.00 m
(iv)
161.00 m
(v)
196.00 m
Question
29
29.
Find the perimeter of the shaded region given below
(i)
132.00 m
(ii)
145.00 m
(iii)
110.00 m
(iv)
130.00 m
(v)
159.00 m
Question
30
30.
Find the perimeter of the shaded region given below
(i)
158.00 m
(ii)
116.00 m
(iii)
130.00 m
(iv)
135.00 m
(v)
113.00 m
Question
31
31.
Find the perimeter of the shaded region given below
(i)
135.00 m
(ii)
155.00 m
(iii)
138.00 m
(iv)
142.00 m
(v)
113.00 m
Question
32
32.
Find the perimeter of the shaded region given below
(i)
162.00 m
(ii)
179.00 m
(iii)
164.00 m
(iv)
172.00 m
(v)
150.00 m
Assignment Key
1) (iii)
2) (iv)
3) (v)
4) (iv)
5) (i)
6) (v)
7) (iv)
8) (ii)
9) (iv)
10) (v)
11) (ii)
12) (i)
13) (iv)
14) (ii)
15) (iv)
16) (i)
17) (ii)
18) (ii)
19) (iii)
20) (iii)
21) (v)
22) (ii)
23) (i)
24) (iv)
25) (iv)
26) (i)
27) (ii)
28) (i)
29) (i)
30) (iii)
31) (iii)
32) (iii)
