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 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)
71.00 cm
(iv)
79.00 cm
(v)
81.00 cm
Question
2
2.
If the inner length, outer breadth and width of a rectangular path are 8.00 cm, 8.40 cm and 1.20 cm respectively, the area of the rectangular path =
(i)
36.36 sq.cm
(ii)
39.36 sq.cm
(iii)
44.36 sq.cm
(iv)
42.36 sq.cm
(v)
34.36 sq.cm
Question
3
3.
In quadrilateral PQRS, if diagonal QS = 13.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 16.85 cm and 15.12 cm respectively, then area of the quadrilateral =
(i)
207.81 sq.cm
(ii)
183.81 sq.cm
(iii)
222.81 sq.cm
(iv)
204.81 sq.cm
(v)
221.81 sq.cm
Question
4
4.
In an isosceles right angled triangle △PQR, if area = 128 sq.cm, then perimeter of the triangle =
(i)
51.63 cm
(ii)
49.63 cm
(iii)
54.63 cm
(iv)
59.63 cm
(v)
57.63 cm
Question
5
5.
If radius of the circle is 10.00 cm, the area of the circle is
(i)
314.29 sq.cm
(ii)
291.29 sq.cm
(iii)
328.29 sq.cm
(iv)
306.29 sq.cm
Question
6
6.
If the side of an equilateral triangle is 13 cm, the height of the equilateral triangle =
(i)
11.26 cm
(ii)
6.26 cm
(iii)
8.26 cm
(iv)
14.26 cm
(v)
16.26 cm
Question
7
7.
In a right angled triangle △PQR, if the base QR = 18 cm and the corresponding height is 19 cm, then area of the triangle =
(i)
168.00 sq.cm
(ii)
187.00 sq.cm
(iii)
155.00 sq.cm
(iv)
171.00 sq.cm
(v)
196.00 sq.cm
Question
8
8.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 12 and EB = 2.8 , find the area of the remaining portion
(i)
47.66 sq.cm
(ii)
44.66 sq.cm
(iii)
52.66 sq.cm
(iv)
50.66 sq.cm
(v)
42.66 sq.cm
Question
9
9.
If the length and perimeter of a rectangle are 20.00 cm and 76.00 cm respectively, the area of the rectangle =
(i)
358.00 sq.cm
(ii)
374.00 sq.cm
(iii)
347.00 sq.cm
(iv)
360.00 sq.cm
Question
10
10.
If the breadth and diagonal of a rectangle are 7.00 cm and 13.89 cm respectively, the perimeter of the rectangle =
(i)
33.00 cm
(ii)
43.00 cm
(iii)
38.00 cm
(iv)
35.00 cm
(v)
41.00 cm
Question
11
11.
In parallelogram PQRS, if base PQ = 13.00 cm and the corresponding height is 14.76 cm, then area of the parallelogram =
(i)
209.88 sq.cm
(ii)
187.88 sq.cm
(iii)
164.88 sq.cm
(iv)
191.88 sq.cm
(v)
197.88 sq.cm
Question
12
12.
In the given figure, find the area of the shaded region
(i)
216.00 sq.cm
(ii)
228.00 sq.cm
(iii)
188.00 sq.cm
(iv)
233.00 sq.cm
(v)
199.00 sq.cm
Question
13
13.
In a right angled triangle △PQR, if the area is 152 sq.cm and base QR = 19 cm, then perimeter of the triangle =
(i)
62.84 cm
(ii)
54.84 cm
(iii)
64.84 cm
(iv)
56.84 cm
(v)
59.84 cm
Question
14
14.
In the given figure, ABCD is a square of side 17.00 cm and A, B, C, D are the centres of circular arcs, each of radius 8.50 cm. Find the area of the shaded region
(i)
61.93 sq.cm
(ii)
56.93 sq.cm
(iii)
64.93 sq.cm
(iv)
66.93 sq.cm
(v)
58.93 sq.cm
Question
15
15.
In quadrilateral PQRS, if diagonal QS = 20.00 cm, height of vertex P to the diagonal QS is 3.20 cm and area is 98.00 sq.cm, then height of the vertex R to the diagonal QS is
(i)
8.60 cm
(ii)
7.60 cm
(iii)
6.60 cm
(iv)
5.60 cm
(v)
4.60 cm
Question
16
16.
In the given figure, arcs of two concentric circles of radii 15.00 cm and 6.00 cm are drawn with center O. If ∠EOF = 40°, find the area of the shaded region
(i)
69.00 sq.cm
(ii)
61.00 sq.cm
(iii)
71.00 sq.cm
(iv)
66.00 sq.cm
(v)
63.00 sq.cm
Question
17
17.
In an isosceles right angled triangle △PQR, if perimeter = 61.46 cm, then area of the triangle =
(i)
189.00 sq.cm
(ii)
166.00 sq.cm
(iii)
162.00 sq.cm
(iv)
160.00 sq.cm
(v)
144.00 sq.cm
Question
18
18.
If the breadth and area of a rectangle are 11.00 cm and 176.00 sq.cm respectively, the perimeter of the rectangle =
(i)
57.00 cm
(ii)
54.00 cm
(iii)
49.00 cm
(iv)
51.00 cm
(v)
59.00 cm
Question
19
19.
If the side of an equilateral triangle is 13 cm, the perimeter of the equilateral triangle =
(i)
34.00 cm
(ii)
39.00 cm
(iii)
42.00 cm
(iv)
36.00 cm
(v)
44.00 cm
Question
20
20.
If the inner length, outer breadth and area of the outer rectangle of a rectangular path are 10.00 cm, 10.80 cm and 127.44 sq.cm respectively, the area of the rectangular path =
(i)
42.44 sq.cm
(ii)
37.44 sq.cm
(iii)
34.44 sq.cm
(iv)
32.44 sq.cm
(v)
40.44 sq.cm
Question
21
21.
In an isosceles triangle △ABC, if base BC = 13 cm and the corresponding height is 7.6 cm, then perimeter of the triangle =
(i)
33.00 cm
(ii)
36.00 cm
(iii)
28.00 cm
(iv)
38.00 cm
(v)
30.00 cm
Question
22
22.
In an isosceles triangle △ABC, if BC = 18 cm, CA = AB and perimeter is 48 cm, then area of the triangle =
(i)
95.00 sq.cm
(ii)
108.00 sq.cm
(iii)
136.00 sq.cm
(iv)
123.00 sq.cm
Question
23
23.
In parallelogram PQRS, if base PQ = 11.00 cm and area is 122.98 sq.cm, the corresponding height to the base PQ is
(i)
14.18 cm
(ii)
11.18 cm
(iii)
8.18 cm
(iv)
6.18 cm
(v)
16.18 cm
Question
24
24.
Find the area of the shaded region
(i)
49.86 sq.cm
(ii)
51.86 sq.cm
(iii)
57.86 sq.cm
(iv)
54.86 sq.cm
(v)
59.86 sq.cm
Question
25
25.
In an isosceles right angled triangle △PQR, if QR = 18 cm is one of the equal sides, then perimeter of the triangle =
(i)
66.46 cm
(ii)
61.46 cm
(iii)
64.46 cm
(iv)
58.46 cm
(v)
56.46 cm
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (iii)
5) (i)
6) (i)
7) (iv)
8) (i)
9) (iv)
10) (iii)
11) (iv)
12) (i)
13) (v)
14) (i)
15) (iii)
16) (iv)
17) (iii)
18) (ii)
19) (ii)
20) (ii)
21) (i)
22) (ii)
23) (ii)
24) (iv)
25) (ii)
