EduSahara™ Assignment
Name : Perimeter and Area of Quadrilaterals
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If the side of a square is 11.00 cm, the perimeter of the square =
(i)
39.00 cm
(ii)
41.00 cm
(iii)
49.00 cm
(iv)
47.00 cm
(v)
44.00 cm
Question
2
2.
If the side of a square is 17.00 cm, the area of the square =
(i)
307.00 sq.cm
(ii)
304.00 sq.cm
(iii)
273.00 sq.cm
(iv)
289.00 sq.cm
Question
3
3.
If the area of a square is 256.00 sq.cm, the perimeter of the square =
(i)
59.00 cm
(ii)
69.00 cm
(iii)
67.00 cm
(iv)
64.00 cm
(v)
61.00 cm
Question
4
4.
If the length of the diagonal of a square is 18.38 cm, the perimeter of the square =
(i)
52.00 cm
(ii)
47.00 cm
(iii)
49.00 cm
(iv)
57.00 cm
(v)
55.00 cm
Question
5
5.
If the length of the diagonal of a square is 21.21 cm, the area of the square =
(i)
253.00 sq.cm
(ii)
225.00 sq.cm
(iii)
217.00 sq.cm
(iv)
202.00 sq.cm
(v)
228.00 sq.cm
Question
6
6.
If the length and breadth of a rectangle are 19.00 cm and 13.00 cm respectively, the perimeter of the rectangle =
(i)
69.00 cm
(ii)
59.00 cm
(iii)
67.00 cm
(iv)
61.00 cm
(v)
64.00 cm
Question
7
7.
If the length and breadth of a rectangle are 13.00 cm and 11.00 cm respectively, the area of the rectangle =
(i)
149.00 sq.cm
(ii)
143.00 sq.cm
(iii)
170.00 sq.cm
(iv)
118.00 sq.cm
(v)
139.00 sq.cm
Question
8
8.
If the length and perimeter of a rectangle are 19.00 cm and 72.00 cm respectively, the area of the rectangle =
(i)
323.00 sq.cm
(ii)
337.00 sq.cm
(iii)
311.00 sq.cm
(iv)
346.00 sq.cm
(v)
307.00 sq.cm
Question
9
9.
If the length and area of a rectangle are 17.00 cm and 153.00 sq.cm respectively, the perimeter of the rectangle =
(i)
49.00 cm
(ii)
52.00 cm
(iii)
55.00 cm
(iv)
57.00 cm
(v)
47.00 cm
Question
10
10.
If the length and diagonal of a rectangle are 16.00 cm and 18.87 cm respectively, the perimeter of the rectangle =
(i)
55.00 cm
(ii)
57.00 cm
(iii)
47.00 cm
(iv)
49.00 cm
(v)
52.00 cm
Question
11
11.
If the breadth and perimeter of a rectangle are 12.00 cm and 54.00 cm respectively, the area of the rectangle =
(i)
168.00 sq.cm
(ii)
183.00 sq.cm
(iii)
196.00 sq.cm
(iv)
180.00 sq.cm
(v)
175.00 sq.cm
Question
12
12.
If the breadth and area of a rectangle are 14.00 cm and 224.00 sq.cm respectively, the perimeter of the rectangle =
(i)
55.00 cm
(ii)
57.00 cm
(iii)
65.00 cm
(iv)
60.00 cm
(v)
63.00 cm
Question
13
13.
In quadrilateral PQRS, if diagonal QS = 17.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 11.05 cm and 17.52 cm respectively, then area of the quadrilateral =
(i)
259.84 sq.cm
(ii)
224.84 sq.cm
(iii)
242.84 sq.cm
(iv)
226.84 sq.cm
Question
14
14.
In trapezium ABCD, if distance between the parallel sides is 6.47 cm and lengths of the parallel sides AB = 19.00 cm and CD = 8.00 cm, then area of the trapezium =
(i)
92.34 sq.cm
(ii)
82.34 sq.cm
(iii)
84.34 sq.cm
(iv)
90.34 sq.cm
(v)
87.34 sq.cm
Question
15
15.
In parallelogram PQRS, if base PQ = 17.00 cm and the corresponding height is 13.17 cm, then area of the parallelogram =
(i)
223.89 sq.cm
(ii)
208.89 sq.cm
(iii)
210.89 sq.cm
(iv)
250.89 sq.cm
(v)
239.89 sq.cm
Question
16
16.
In rhombus PQRS, if diagonals QS = 20.00 cm and PR = 22.36 cm, the area of the rhombus =
(i)
221.60 sq.cm
(ii)
237.60 sq.cm
(iii)
229.60 sq.cm
(iv)
210.60 sq.cm
(v)
223.60 sq.cm
Question
17
17.
In quadrilateral PQRS, if diagonal QS = 18.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 12.44 cm and 7.06 cm respectively, then height of the vertex R to the diagonal QS is
(i)
6.06 cm
(ii)
7.06 cm
(iii)
8.06 cm
(iv)
5.06 cm
(v)
9.06 cm
Question
18
18.
In quadrilateral PQRS, if diagonal QS = 16.00 cm, height of vertex P to the diagonal QS is 9.92 cm and area is 226.00 sq.cm, then height of the vertex R to the diagonal QS is
(i)
18.33 cm
(ii)
15.33 cm
(iii)
13.33 cm
(iv)
21.33 cm
(v)
23.33 cm
Question
19
19.
In quadrilateral PQRS, if area is 187.30 sq.cm, height of vertex P to the diagonal QS is 9.38 cm, and height of vertex R to the diagonal QS is 9.35 cm, then diagonal QS =
(i)
23.00 cm
(ii)
17.00 cm
(iii)
25.00 cm
(iv)
20.00 cm
(v)
15.00 cm
Question
20
20.
In trapezium ABCD, if area is 138.81 sq.cm and lengths of the parallel sides are AB = 16.00 cm and CD = 7.00 cm, then distance between the parallel sides AB and CD =
(i)
9.07 cm
(ii)
12.07 cm
(iii)
7.07 cm
(iv)
15.07 cm
(v)
17.07 cm
Question
21
21.
In trapezium ABCD, if one of the parallel sides AB = 14.00 cm and distance between parallel sides AB and CD is 8.40 cm and area is 88.20 sq.cm, then parallel side CD =
(i)
8.00 cm
(ii)
7.00 cm
(iii)
5.00 cm
(iv)
9.00 cm
(v)
6.00 cm
Question
22
22.
In parallelogram PQRS, if base PQ = 11.00 cm and area is 142.01 sq.cm, the corresponding height to the base PQ is
(i)
9.91 cm
(ii)
17.91 cm
(iii)
15.91 cm
(iv)
7.91 cm
(v)
12.91 cm
Question
23
23.
In parallelogram PQRS, if distance between the parallel sides PQ and RS is 14.18 cm and area is 269.42 sq.cm, the base of the parallelogram PQ =
(i)
19.00 cm
(ii)
24.00 cm
(iii)
16.00 cm
(iv)
22.00 cm
(v)
14.00 cm
Question
24
24.
In rhombus PQRS, if one of the diagonals QS = 19.00 cm and area is 267.90 sq.cm, the diagonal PR =
(i)
31.20 cm
(ii)
28.20 cm
(iii)
25.20 cm
(iv)
33.20 cm
(v)
23.20 cm
Question
25
25.
Find the area of the field shown in the figure. All dimensions are in m
(i)
11212.50 sq.m
(ii)
11612.50 sq.m
(iii)
10712.50 sq.m
(iv)
13412.50 sq.m
(v)
9912.50 sq.m
Question
26
26.
Find the area of the field shown in the figure. All dimensions are in m
(i)
8525.00 sq.m
(ii)
8845.00 sq.m
(iii)
8735.00 sq.m
(iv)
8495.00 sq.m
(v)
8675.00 sq.m
Question
27
27.
In the given figure, the triangle inside the square is an isosceles triangle. Find the area of the shaded region
(i)
127.50 sq.cm
(ii)
130.50 sq.cm
(iii)
151.50 sq.cm
(iv)
160.50 sq.cm
(v)
144.50 sq.cm
Question
28
28.
In the given figure, find the area of the shaded region
(i)
137.00 sq.cm
(ii)
101.00 sq.cm
(iii)
99.00 sq.cm
(iv)
114.00 sq.cm
(v)
116.00 sq.cm
Question
29
29.
In the given figure, find the area of the shaded region
(i)
352.50 sq.cm
(ii)
325.50 sq.cm
(iii)
310.50 sq.cm
(iv)
354.50 sq.cm
(v)
337.50 sq.cm
Assignment Key
1) (v)
2) (iv)
3) (iv)
4) (i)
5) (ii)
6) (v)
7) (ii)
8) (i)
9) (ii)
10) (v)
11) (iv)
12) (iv)
13) (iii)
14) (v)
15) (i)
16) (v)
17) (ii)
18) (i)
19) (iv)
20) (ii)
21) (ii)
22) (v)
23) (i)
24) (ii)
25) (i)
26) (v)
27) (v)
28) (iv)
29) (v)