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 area of a square is 361.00 sq.cm, the perimeter of the square =
(i)
79.00 cm
(ii)
73.00 cm
(iii)
81.00 cm
(iv)
71.00 cm
(v)
76.00 cm
Question
2
2.
In an isosceles right angled triangle △PQR, if perimeter = 64.87 cm, then area of the triangle =
(i)
195.50 sq.cm
(ii)
180.50 sq.cm
(iii)
208.50 sq.cm
(iv)
162.50 sq.cm
(v)
167.50 sq.cm
Question
3
3.
If the breadth and area of a rectangle are 17.00 cm and 340.00 sq.cm respectively, the perimeter of the rectangle =
(i)
74.00 cm
(ii)
79.00 cm
(iii)
71.00 cm
(iv)
69.00 cm
(v)
77.00 cm
Question
4
4.
In △PQR, if QR = 17 cm, RP = 10 cm, PQ = 12 cm, then area of the triangle =
(i)
61.94 sq.cm
(ii)
55.94 sq.cm
(iii)
53.94 sq.cm
(iv)
63.94 sq.cm
(v)
58.94 sq.cm
Question
5
5.
If the length and area of a rectangle are 19.00 cm and 342.00 sq.cm respectively, the perimeter of the rectangle =
(i)
74.00 cm
(ii)
77.00 cm
(iii)
79.00 cm
(iv)
69.00 cm
(v)
71.00 cm
Question
6
6.
In the given figure, arcs of two concentric circles of radii 12.00 cm and 4.80 cm are drawn with center O. If ∠MON = 80°, find the area of the shaded region
(i)
81.48 sq.cm
(ii)
84.48 sq.cm
(iii)
89.48 sq.cm
(iv)
79.48 sq.cm
(v)
87.48 sq.cm
Question
7
7.
In rhombus PQRS, if one of the diagonals QS = 16.00 cm and area is 96.00 sq.cm, the diagonal PR =
(i)
15.00 cm
(ii)
17.00 cm
(iii)
12.00 cm
(iv)
9.00 cm
(v)
7.00 cm
Question
8
8.
If circumference of the circle is 37.71 cm, the area of the semicircle is
(i)
61.57 sq.cm
(ii)
53.57 sq.cm
(iii)
59.57 sq.cm
(iv)
56.57 sq.cm
(v)
51.57 sq.cm
Question
9
9.
If the outer and inner sides of a square path are 10.00 cm and 8.00 cm respectively, the area of the square path =
(i)
36.00 sq.cm
(ii)
39.00 sq.cm
(iii)
41.00 sq.cm
(iv)
31.00 sq.cm
(v)
33.00 sq.cm
Question
10
10.
If the length of the diagonal of a square is 22.62 cm, the perimeter of the square =
(i)
69.00 cm
(ii)
59.00 cm
(iii)
61.00 cm
(iv)
64.00 cm
(v)
67.00 cm
Question
11
11.
If height of an equilateral triangle is 12.99 cm, the area of the equilateral triangle =
(i)
102.43 sq.cm
(ii)
94.43 sq.cm
(iii)
92.43 sq.cm
(iv)
97.43 sq.cm
(v)
100.43 sq.cm
Question
12
12.
In △PQR, if QR = 19 cm, RP = 15 cm and the corresponding height of side QR = 14.18 cm, then perimeter of the triangle =
(i)
51.00 cm
(ii)
54.00 cm
(iii)
49.00 cm
(iv)
57.00 cm
(v)
59.00 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)
85.00 sq.cm
(ii)
90.00 sq.cm
(iii)
82.00 sq.cm
(iv)
88.00 sq.cm
(v)
80.00 sq.cm
Question
14
14.
In rhombus PQRS, if diagonals QS = 18.00 cm and PR = 12.65 cm, the area of the rhombus =
(i)
116.85 sq.cm
(ii)
99.85 sq.cm
(iii)
131.85 sq.cm
(iv)
101.85 sq.cm
(v)
113.85 sq.cm
Question
15
15.
In a right angled triangle △PQR, if the base QR = 16 cm and the corresponding height is 17 cm, then perimeter of the triangle =
(i)
56.35 cm
(ii)
59.35 cm
(iii)
53.35 cm
(iv)
51.35 cm
(v)
61.35 cm
Question
16
16.
If the outer length, inner breadth and area of the outer rectangle of a rectangular path are 18.00 cm, 8.00 cm and 288.00 sq.cm respectively, the area of the rectangular path =
(i)
206.00 sq.cm
(ii)
185.00 sq.cm
(iii)
223.00 sq.cm
(iv)
230.00 sq.cm
(v)
208.00 sq.cm
Question
17
17.
If the breadth and diagonal of a rectangle are 11.00 cm and 17.80 cm respectively, the perimeter of the rectangle =
(i)
53.00 cm
(ii)
55.00 cm
(iii)
50.00 cm
(iv)
47.00 cm
(v)
45.00 cm
Question
18
18.
In a right angled triangle △PQR, if QR = 17 cm, PQ = 14 cm are the lengths of perpendicular sides , then perimeter of the triangle =
(i)
53.02 cm
(ii)
50.02 cm
(iii)
48.02 cm
(iv)
58.02 cm
(v)
56.02 cm
Question
19
19.
Find the area of the shaded region
(i)
66.93 sq.cm
(ii)
61.93 sq.cm
(iii)
64.93 sq.cm
(iv)
56.93 sq.cm
(v)
58.93 sq.cm
Question
20
20.
If the width of the ring is 1.00 cm and inner radius is 8.00 cm, the area of the ring is
(i)
48.43 sq.cm
(ii)
58.43 sq.cm
(iii)
53.43 sq.cm
(iv)
50.43 sq.cm
(v)
56.43 sq.cm
Question
21
21.
If the area of the inner circle of the ring is 154.00 sq.cm and area of outer circle is 254.57 sq.cm, the area of the ring is
(i)
95.57 sq.cm
(ii)
102.57 sq.cm
(iii)
82.57 sq.cm
(iv)
127.57 sq.cm
(v)
100.57 sq.cm
Question
22
22.
If the side of an equilateral triangle is 20 cm, the height of the equilateral triangle =
(i)
17.32 cm
(ii)
12.32 cm
(iii)
14.32 cm
(iv)
20.32 cm
(v)
22.32 cm
Question
23
23.
If the inner rectangle area, outer rectangle area and width of a rectangular path are 35.00 sq.cm, 80.00 sq.cm and 1.50 cm respectively, the area of the rectangular path =
(i)
45.00 sq.cm
(ii)
40.00 sq.cm
(iii)
50.00 sq.cm
(iv)
48.00 sq.cm
(v)
42.00 sq.cm
Question
24
24.
If the side of an equilateral triangle is 12 cm, the perimeter of the equilateral triangle =
(i)
31.00 cm
(ii)
33.00 cm
(iii)
39.00 cm
(iv)
36.00 cm
(v)
41.00 cm
Question
25
25.
In quadrilateral PQRS, if diagonal QS = 17.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 10.41 cm and 6.93 cm respectively, then height of the vertex R to the diagonal QS is
(i)
8.93 cm
(ii)
7.93 cm
(iii)
5.93 cm
(iv)
6.93 cm
(v)
4.93 cm
Assignment Key
1) (v)
2) (ii)
3) (i)
4) (v)
5) (i)
6) (ii)
7) (iii)
8) (iv)
9) (i)
10) (iv)
11) (iv)
12) (ii)
13) (i)
14) (v)
15) (i)
16) (v)
17) (iii)
18) (i)
19) (ii)
20) (iii)
21) (v)
22) (i)
23) (i)
24) (iv)
25) (iv)