EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If circumference of the circle is 50.29 cm, the perimeter of the semicircle is
(i)
41.14 cm
(ii)
46.14 cm
(iii)
44.14 cm
(iv)
36.14 cm
(v)
38.14 cm
Question
2
2.
If the perimeter of a square is 80.00 cm, the area of the square =
(i)
398.00 sq.cm
(ii)
407.00 sq.cm
(iii)
386.00 sq.cm
(iv)
400.00 sq.cm
(v)
424.00 sq.cm
Question
3
3.
Find the area of the field shown in the figure. All dimensions are in m
(i)
9475.00 sq.m
(ii)
11075.00 sq.m
(iii)
13275.00 sq.m
(iv)
9275.00 sq.m
(v)
12575.00 sq.m
Question
4
4.
In an isosceles triangle △ABC, if BC = 20 cm, CA = AB and perimeter is 44 cm, then area of the triangle =
(i)
66.33 sq.cm
(ii)
69.33 sq.cm
(iii)
61.33 sq.cm
(iv)
63.33 sq.cm
(v)
71.33 sq.cm
Question
5
5.
In the given figure, d = 16.00 cm is the diameter of the semi-circles. Find the area of the shaded region
(i)
417.29 sq.cm
(ii)
430.29 sq.cm
(iii)
402.29 sq.cm
(iv)
388.29 sq.cm
(v)
395.29 sq.cm
Question
6
6.
In a right angled triangle △PQR, if the area is 85 sq.cm and base QR = 17 cm, then perimeter of the triangle =
(i)
49.72 cm
(ii)
43.72 cm
(iii)
51.72 cm
(iv)
46.72 cm
(v)
41.72 cm
Question
7
7.
In the given figure, the triangle inside the square is an isosceles triangle. Find the area of the shaded region
(i)
180.50 sq.cm
(ii)
166.50 sq.cm
(iii)
195.50 sq.cm
(iv)
192.50 sq.cm
(v)
157.50 sq.cm
Question
8
8.
If circumference of the circle is 62.86 cm, the area of the semicircle is
(i)
152.14 sq.cm
(ii)
174.14 sq.cm
(iii)
139.14 sq.cm
(iv)
157.14 sq.cm
(v)
173.14 sq.cm
Question
9
9.
If the outer length, outer breadth and width of a rectangular path are 11.80 cm, 10.80 cm and 0.90 cm respectively, the area of the rectangular path =
(i)
37.44 sq.cm
(ii)
42.44 sq.cm
(iii)
40.44 sq.cm
(iv)
34.44 sq.cm
(v)
32.44 sq.cm
Question
10
10.
In rhombus PQRS, if diagonals QS = 19.00 cm and PR = 23.22 cm, the area of the rhombus =
(i)
232.59 sq.cm
(ii)
237.59 sq.cm
(iii)
206.59 sq.cm
(iv)
197.59 sq.cm
(v)
220.59 sq.cm
Question
11
11.
If the length and diagonal of a rectangle are 18.00 cm and 23.43 cm respectively, the area of the rectangle =
(i)
252.00 sq.cm
(ii)
244.00 sq.cm
(iii)
286.00 sq.cm
(iv)
282.00 sq.cm
(v)
270.00 sq.cm
Question
12
12.
In △PQR, if QR = 15 cm, RP = 12 cm, PQ = 11 cm, then area of the triangle =
(i)
65.24 sq.cm
(ii)
68.24 sq.cm
(iii)
70.24 sq.cm
(iv)
62.24 sq.cm
(v)
60.24 sq.cm
Question
13
13.
If the inner length, outer breadth and area of the inner rectangle of a rectangular path are 7.00 cm, 10.00 cm and 35.00 sq.cm respectively, the area of the rectangular path =
(i)
90.00 sq.cm
(ii)
88.00 sq.cm
(iii)
82.00 sq.cm
(iv)
85.00 sq.cm
(v)
80.00 sq.cm
Question
14
14.
In a right angled triangle △PQR, if the base QR = 14 cm and the corresponding height is 20 cm, then perimeter of the triangle =
(i)
63.41 cm
(ii)
53.41 cm
(iii)
58.41 cm
(iv)
61.41 cm
(v)
55.41 cm
Question
15
15.
In an isosceles triangle △ABC, if base BC = 17 cm and the corresponding height is 12.36 cm, then area of the triangle =
(i)
128.05 sq.cm
(ii)
105.05 sq.cm
(iii)
92.05 sq.cm
(iv)
110.05 sq.cm
(v)
103.05 sq.cm
Question
16
16.
If the length of the diagonal of a square is 26.87 cm, the perimeter of the square =
(i)
76.00 cm
(ii)
73.00 cm
(iii)
79.00 cm
(iv)
81.00 cm
(v)
71.00 cm
Question
17
17.
In an isosceles triangle △ABC, if BC = 20 cm, AB = CA = 17 cm, then perimeter of the triangle =
(i)
54.00 cm
(ii)
59.00 cm
(iii)
49.00 cm
(iv)
51.00 cm
(v)
57.00 cm
Question
18
18.
In the given figure, ABCD is a square of side 19.00 cm and A, B, C, D are the centres of circular arcs, each of radius 9.50 cm. Find the area of the shaded region
(i)
77.36 sq.cm
(ii)
80.36 sq.cm
(iii)
74.36 sq.cm
(iv)
82.36 sq.cm
(v)
72.36 sq.cm
Question
19
19.
In the given figure, ABCD is a square of side 19.00 cm . At the centre there is a circle with radius 4.75 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
(i)
225.18 sq.cm
(ii)
219.18 sq.cm
(iii)
193.18 sq.cm
(iv)
211.18 sq.cm
(v)
242.18 sq.cm
Question
20
20.
In an isosceles triangle △ABC, if BC = 17 cm, AB = CA = 13 cm, then area of the triangle =
(i)
83.61 sq.cm
(ii)
80.61 sq.cm
(iii)
88.61 sq.cm
(iv)
78.61 sq.cm
(v)
86.61 sq.cm
Question
21
21.
If the width of a square path is 0.50 cm and inner side is 9.00 cm, the area of the square path =
(i)
22.00 sq.cm
(ii)
24.00 sq.cm
(iii)
16.00 sq.cm
(iv)
14.00 sq.cm
(v)
19.00 sq.cm
Question
22
22.
If the breadth and diagonal of a rectangle are 11.00 cm and 17.03 cm respectively, the area of the rectangle =
(i)
127.00 sq.cm
(ii)
148.00 sq.cm
(iii)
143.00 sq.cm
(iv)
121.00 sq.cm
(v)
170.00 sq.cm
Question
23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 11.12 cm and area is 222.40 sq.cm, the base of the parallelogram PQ =
(i)
20.00 cm
(ii)
15.00 cm
(iii)
23.00 cm
(iv)
17.00 cm
(v)
25.00 cm
Question
24
24.
In quadrilateral PQRS, if area is 294.50 sq.cm, height of vertex P to the diagonal QS is 15.54 cm, and height of vertex R to the diagonal QS is 13.91 cm, then diagonal QS =
(i)
23.00 cm
(ii)
15.00 cm
(iii)
17.00 cm
(iv)
20.00 cm
(v)
25.00 cm
Question
25
25.
If area of an equilateral triangle is 84.87 sq.cm, the perimeter of the equilateral triangle =
(i)
47.00 cm
(ii)
37.00 cm
(iii)
39.00 cm
(iv)
42.00 cm
(v)
45.00 cm
Assignment Key
1) (i)
2) (iv)
3) (ii)
4) (i)
5) (iii)
6) (iv)
7) (i)
8) (iv)
9) (i)
10) (v)
11) (v)
12) (i)
13) (iv)
14) (iii)
15) (ii)
16) (i)
17) (i)
18) (i)
19) (ii)
20) (i)
21) (v)
22) (iii)
23) (i)
24) (iv)
25) (iv)