EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
In an isosceles triangle △ABC, if BC = 17 cm, AB = CA = 11 cm, then area of the triangle =
(i)
62.35 sq.cm
(ii)
54.35 sq.cm
(iii)
56.35 sq.cm
(iv)
59.35 sq.cm
(v)
64.35 sq.cm
Question
2
2.
In rhombus PQRS, if diagonals QS = 16.00 cm and PR = 17.89 cm, the area of the rhombus =
(i)
156.12 sq.cm
(ii)
145.12 sq.cm
(iii)
127.12 sq.cm
(iv)
121.12 sq.cm
(v)
143.12 sq.cm
Question
3
3.
If the width of the ring is 3.00 cm and inner radius is 6.00 cm, the area of the ring is
(i)
126.43 sq.cm
(ii)
158.43 sq.cm
(iii)
129.43 sq.cm
(iv)
141.43 sq.cm
(v)
149.43 sq.cm
Question
4
4.
If diameter of the circle is 20.00 cm, the perimeter of the semicircle is
(i)
48.43 cm
(ii)
54.43 cm
(iii)
51.43 cm
(iv)
46.43 cm
(v)
56.43 cm
Question
5
5.
In a right angled triangle △PQR, if QR = 18 cm is one of the perpendicular sides and RP = 24.76 cm is the hypotenuse, then perimeter of the triangle =
(i)
62.76 cm
(ii)
59.76 cm
(iii)
54.76 cm
(iv)
56.76 cm
(v)
64.76 cm
Question
6
6.
In rhombus PQRS, if one of the diagonals QS = 17.00 cm and area is 189.12 sq.cm, the diagonal PR =
(i)
19.25 cm
(ii)
17.25 cm
(iii)
25.25 cm
(iv)
27.25 cm
(v)
22.25 cm
Question
7
7.
If area of the circle is 254.57 sq.cm, the perimeter of the semicircle is
(i)
43.29 cm
(ii)
49.29 cm
(iii)
46.29 cm
(iv)
51.29 cm
(v)
41.29 cm
Question
8
8.
If the breadth and diagonal of a rectangle are 7.00 cm and 12.21 cm respectively, the perimeter of the rectangle =
(i)
29.00 cm
(ii)
34.00 cm
(iii)
37.00 cm
(iv)
39.00 cm
(v)
31.00 cm
Question
9
9.
In quadrilateral PQRS, if area is 165.48 sq.cm, height of vertex P to the diagonal QS is 9.80 cm, and height of vertex R to the diagonal QS is 17.78 cm, then diagonal QS =
(i)
15.00 cm
(ii)
12.00 cm
(iii)
17.00 cm
(iv)
7.00 cm
(v)
9.00 cm
Question
10
10.
If the breadth and area of a rectangle are 6.00 cm and 102.00 sq.cm respectively, the perimeter of the rectangle =
(i)
51.00 cm
(ii)
41.00 cm
(iii)
46.00 cm
(iv)
49.00 cm
(v)
43.00 cm
Question
11
11.
In the given figure, ABCD is a square of side 20.00 cm and A, B, C, D are the centres of circular arcs, each of radius 10.00 cm. Find the area of the shaded region
(i)
88.71 sq.cm
(ii)
85.71 sq.cm
(iii)
82.71 sq.cm
(iv)
80.71 sq.cm
(v)
90.71 sq.cm
Question
12
12.
In △PQR, if base QR = 13 cm and the corresponding height of side QR = 8.77 cm, then area of the triangle =
(i)
52.00 sq.cm
(ii)
60.00 sq.cm
(iii)
54.00 sq.cm
(iv)
62.00 sq.cm
(v)
57.00 sq.cm
Question
13
13.
In quadrilateral PQRS, if diagonal QS = 16.00 cm, height of vertex P to the diagonal QS is 11.49 cm and area is 188.48 sq.cm, then height of the vertex R to the diagonal QS is
(i)
17.07 cm
(ii)
7.07 cm
(iii)
15.07 cm
(iv)
12.07 cm
(v)
9.07 cm
Question
14
14.
In an isosceles right angled triangle △PQR, if RP = 15.56 cm is the hypotenuse, then area of the triangle =
(i)
60.50 sq.cm
(ii)
57.50 sq.cm
(iii)
63.50 sq.cm
(iv)
55.50 sq.cm
(v)
65.50 sq.cm
Question
15
15.
If the length and diagonal of a rectangle are 11.00 cm and 14.21 cm respectively, the area of the rectangle =
(i)
94.00 sq.cm
(ii)
102.00 sq.cm
(iii)
99.00 sq.cm
(iv)
104.00 sq.cm
(v)
96.00 sq.cm
Question
16
16.
If the width of a square path is 1.00 cm and outer side is 7.00 cm, the area of the square path =
(i)
29.00 sq.cm
(ii)
24.00 sq.cm
(iii)
21.00 sq.cm
(iv)
19.00 sq.cm
(v)
27.00 sq.cm
Question
17
17.
If the inner length, inner breadth, outer length and outer breadth of a rectangular path are 10.00 cm, 7.00 cm, 15.60 cm and 12.60 cm respectively, the area of the rectangular path =
(i)
143.56 sq.cm
(ii)
102.56 sq.cm
(iii)
126.56 sq.cm
(iv)
121.56 sq.cm
(v)
148.56 sq.cm
Question
18
18.
If the outer and inner sides of a square path are 9.00 cm and 7.00 cm respectively, the area of the square path =
(i)
29.00 sq.cm
(ii)
27.00 sq.cm
(iii)
32.00 sq.cm
(iv)
37.00 sq.cm
(v)
35.00 sq.cm
Question
19
19.
If perimeter of an equilateral triangle 60 cm, the area of the equilateral triangle =
(i)
173.21 sq.cm
(ii)
158.21 sq.cm
(iii)
185.21 sq.cm
(iv)
177.21 sq.cm
(v)
150.21 sq.cm
Question
20
20.
In an isosceles right angled triangle △PQR, if perimeter = 40.97 cm, then area of the triangle =
(i)
72.00 sq.cm
(ii)
77.00 sq.cm
(iii)
69.00 sq.cm
(iv)
75.00 sq.cm
(v)
67.00 sq.cm
Question
21
21.
Find the area of the shaded region
(i)
51.86 sq.cm
(ii)
49.86 sq.cm
(iii)
59.86 sq.cm
(iv)
57.86 sq.cm
(v)
54.86 sq.cm
Question
22
22.
If area of an equilateral triangle is 73.18 sq.cm, the perimeter of the equilateral triangle =
(i)
34.00 cm
(ii)
44.00 cm
(iii)
42.00 cm
(iv)
36.00 cm
(v)
39.00 cm
Question
23
23.
If the width of a square path is 1.00 cm and inner side is 8.00 cm, the area of the square path =
(i)
41.00 sq.cm
(ii)
33.00 sq.cm
(iii)
39.00 sq.cm
(iv)
31.00 sq.cm
(v)
36.00 sq.cm
Question
24
24.
In the given figure, find the area of the shaded region
(i)
149.50 sq.cm
(ii)
123.50 sq.cm
(iii)
110.50 sq.cm
(iv)
128.50 sq.cm
Question
25
25.
In △PQR, if QR = 12 cm, RP = 10 cm and the corresponding height of side QR = 8.59 cm, then area of the triangle =
(i)
46.52 sq.cm
(ii)
54.52 sq.cm
(iii)
56.52 sq.cm
(iv)
51.52 sq.cm
(v)
48.52 sq.cm
Assignment Key
1) (iv)
2) (v)
3) (iv)
4) (iii)
5) (ii)
6) (v)
7) (iii)
8) (ii)
9) (ii)
10) (iii)
11) (ii)
12) (v)
13) (iv)
14) (i)
15) (iii)
16) (ii)
17) (iii)
18) (iii)
19) (i)
20) (i)
21) (v)
22) (v)
23) (v)
24) (ii)
25) (iv)