EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The given figure consists of two quarter circles each of radius 12.00 cm and four semi-circles each of radius 6.00 cm. Find the area of the shaded region
(i)
198.29 sq.cm
(ii)
226.29 sq.cm
(iii)
212.29 sq.cm
(iv)
249.29 sq.cm
(v)
229.29 sq.cm
Question
2
2.
If the length and breadth of a rectangle are 20.00 cm and 15.00 cm respectively, the perimeter of the rectangle =
(i)
65.00 cm
(ii)
75.00 cm
(iii)
67.00 cm
(iv)
70.00 cm
(v)
73.00 cm
Question
3
3.
If the outer length, inner breadth and area of the outer rectangle of a rectangular path are 13.00 cm, 5.00 cm and 104.00 sq.cm respectively, the area of the rectangular path =
(i)
57.00 sq.cm
(ii)
54.00 sq.cm
(iii)
59.00 sq.cm
(iv)
49.00 sq.cm
(v)
51.00 sq.cm
Question
4
4.
If perimeter of an equilateral triangle 54 cm, the height of the equilateral triangle =
(i)
18.59 cm
(ii)
15.59 cm
(iii)
20.59 cm
(iv)
10.59 cm
(v)
12.59 cm
Question
5
5.
In the given figure, DEFG is a rectangle in which DE = 12 cm and GD = 25 cm.
Also, △PDE and △QFG are the right angled triangles in which ∠EPD = ∠GQF = 90°, PD = 8 cm and QF = 9 cm.
Find the area of the shaded region
(i)
230.51 sq.cm
(ii)
228.51 sq.cm
(iii)
229.51 sq.cm
(iv)
227.51 sq.cm
(v)
226.51 sq.cm
Question
6
6.
If area of the circle is 154.00 sq.cm, the diameter of the circle is
(i)
11.00 cm
(ii)
19.00 cm
(iii)
14.00 cm
(iv)
9.00 cm
(v)
17.00 cm
Question
7
7.
In the given figure, the radius of the circle is 15 cm. Find the area of the minor sector
(i)
162.78 sq.cm
(ii)
183.78 sq.cm
(iii)
154.78 sq.cm
(iv)
191.78 sq.cm
(v)
176.78 sq.cm
Question
8
8.
In an isosceles right angled triangle △PQR, if area = 200 sq.cm, then side PQ =
(i)
17.00 cm
(ii)
23.00 cm
(iii)
15.00 cm
(iv)
25.00 cm
(v)
20.00 cm
Question
9
9.
In the below figure, BCPA is a quadrant of a circle. BC = 15.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
(i)
104.50 sq.cm
(ii)
112.50 sq.cm
(iii)
138.50 sq.cm
(iv)
88.50 sq.cm
(v)
115.50 sq.cm
Question
10
10.
In a right angled triangle △PQR, if the base QR = 10 cm and the corresponding height is 20 cm, then corresponding height of side RP =
(i)
10.94 cm
(ii)
6.94 cm
(iii)
9.94 cm
(iv)
8.94 cm
(v)
7.94 cm
Question
11
11.
In a right angled triangle △PQR, if QR = 17 cm, PQ = 20 cm are the lengths of perpendicular sides , then area of the triangle =
(i)
173.00 sq.cm
(ii)
170.00 sq.cm
(iii)
186.00 sq.cm
(iv)
168.00 sq.cm
(v)
147.00 sq.cm
Question
12
12.
In the given figure, arcs of two concentric circles of radii 14.00 cm and 4.20 cm are drawn with center O. If ∠LOM = 70°, find the area of the shaded region
(i)
96.00 sq.cm
(ii)
125.00 sq.cm
(iii)
109.00 sq.cm
(iv)
111.00 sq.cm
Question
13
13.
In △PQR, if QR = 16 cm, RP = 13 cm and the corresponding height of side QR = 10.25 cm, then corresponding height of side RP =
(i)
15.61 cm
(ii)
9.61 cm
(iii)
12.61 cm
(iv)
7.61 cm
(v)
17.61 cm
Question
14
14.
If the breadth and perimeter of a rectangle are 12.00 cm and 52.00 cm respectively, the length of the rectangle =
(i)
14.00 cm
(ii)
9.00 cm
(iii)
19.00 cm
(iv)
17.00 cm
(v)
11.00 cm
Question
15
15.
If the outer radius of the ring is 10.00 cm and area of the ring is 113.14 sq.cm, the inner circle radius is
(i)
7.00 cm
(ii)
10.00 cm
(iii)
9.00 cm
(iv)
8.00 cm
(v)
6.00 cm
Question
16
16.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 28 cm. Find the area of the shaded region
(i)
130.15 sq.cm
(ii)
142.15 sq.cm
(iii)
111.15 sq.cm
(iv)
158.15 sq.cm
(v)
134.15 sq.cm
Question
17
17.
In an isosceles right angled triangle △PQR, if area = 98 sq.cm, then perimeter of the triangle =
(i)
52.80 cm
(ii)
47.80 cm
(iii)
50.80 cm
(iv)
44.80 cm
(v)
42.80 cm
Question
18
18.
Find the area of the shaded region given below
(i)
537.00 sq.m
(ii)
562.00 sq.m
(iii)
521.00 sq.m
(iv)
525.00 sq.m
(v)
545.00 sq.m
Question
19
19.
In △PQR, if QR = 11 cm, RP = 10 cm, PQ = 18 cm, then area of the triangle =
(i)
51.60 sq.cm
(ii)
48.60 sq.cm
(iii)
43.60 sq.cm
(iv)
45.60 sq.cm
(v)
53.60 sq.cm
Question
20
20.
If the length and area of a rectangle are 20.00 cm and 380.00 sq.cm respectively, the breadth of the rectangle =
(i)
19.00 cm
(ii)
16.00 cm
(iii)
24.00 cm
(iv)
22.00 cm
(v)
14.00 cm
Question
21
21.
Find the area of the shaded region
(i)
274.00 sq.cm
(ii)
276.00 sq.cm
(iii)
278.00 sq.cm
(iv)
277.00 sq.cm
(v)
275.00 sq.cm
Question
22
22.
If height of an equilateral triangle is 17.32 cm, the perimeter of the equilateral triangle =
(i)
65.00 cm
(ii)
60.00 cm
(iii)
57.00 cm
(iv)
63.00 cm
(v)
55.00 cm
Question
23
23.
In a right angled triangle △PQR, if QR = 17 cm, PQ = 19 cm are the lengths of perpendicular sides , then perimeter of the triangle =
(i)
66.50 cm
(ii)
56.50 cm
(iii)
61.50 cm
(iv)
58.50 cm
(v)
64.50 cm
Question
24
24.
Find the perimeter of the shaded region given below
(i)
164.00 m
(ii)
146.00 m
(iii)
132.00 m
(iv)
160.00 m
(v)
187.00 m
Question
25
25.
If circumference of the circle is 44.00 cm, the area of the circle is
(i)
172.00 sq.cm
(ii)
131.00 sq.cm
(iii)
181.00 sq.cm
(iv)
154.00 sq.cm
(v)
142.00 sq.cm
Assignment Key
1) (ii)
2) (iv)
3) (ii)
4) (ii)
5) (ii)
6) (iii)
7) (v)
8) (v)
9) (ii)
10) (iv)
11) (ii)
12) (iii)
13) (iii)
14) (i)
15) (iv)
16) (v)
17) (ii)
18) (i)
19) (ii)
20) (i)
21) (ii)
22) (ii)
23) (iii)
24) (iv)
25) (iv)
