Free Printable Area of ||gm and triangle

1.

The median of a triangle divides it into two

a)

triangles of equal area

b)

congruent triangles

c)

right triangles

d)

isosceles triangles

2.

The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is

a)

a rectangle of area 24 cm2

b)

a square of area 25 cm2

c)

a trapezium of area 24 cm2

d)

a rhombus of area 24 cm2

3.

In Fig. 9.4, the area of parallelogram ABCD is :

a)

AB × BM

b)

BC × BN

c)

DC × DL

d)

AD × DL

4.

In Fig. 9.5, if parallelogram ABCD and rectangle ABEF are of equal area, then :

a)

Perimeter of ABCD = Perimeter of ABEM

b)

Perimeter of ABCD < Perimeter of ABEM

c)

Perimeter of ABCD > Perimeter of ABEM

d)

$PerimeterofABCD=\frac{1}{2}(PerimeterofABEM)$

5.

The mid-point of the sides of a triangle along with any of the vertices as the fourth

point make a parallelogram of area equal to

a)

$\frac{1}{2}ar(ABC)$

b)

$\frac{1}{3}ar(ABC)$

c)

$\frac{1}{4}ar(ABC)$

d)

$ar(ABC)$

6.

Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is

a)

1 : 2

b)

1 : 1

c)

2 : 1

d)

3 : 1

7.

ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area,

then ABCD

a)

is a rectangle

b)

is always a rhombus

c)

is a parallelogram

d)

need not be any of (A), (B) or (C)

8.

If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is

a)

1 : 3

b)

1 : 2

c)

3 : 1

d)

1 : 4

9.

ABCD is a trapezium with parallel sides AB = a cm and DC = b cm (Fig. 9.6). E

and F are the mid-points of the non-parallel sides. The ratio of ar (ABFE) and

ar (EFCD) is

a)

a : b

b)

(3a + b) : (a + 3b)

c)

(a + 3b) : (3a + b)

d)

(2a + b) : (3a + b)

10.

The area of quadrilateral ABCD in the given

figure is

a)

57 cm2

b)

108 cm2

c)

114 cm2

d)

195 cm2

11.

The area of trapezium ABCD in the given fi gure is

a)

62 cm2

b)

93 cm2

c)

124 cm2

d)

155 cm2

12.

In the given fi gure, ABCD is a ||gm in which

AB = CD = 5 cm and $BD\perp DC$ such that

BD = 6.8 cm. Then, the area of ABCD = ?

a)

17 cm2

b)

25 cm2

c)

34 cm2

d)

68 cm2

13.

In the given fi gure, ABCD is a ||gm in which diagonals AC and BD intersect at O. If

ar(||gm ABCD) is $52cm^2$ then the $ar(\Delta AOB)=?$

a)

26 cm2

b)

18.5 cm2

c)

39 cm2

d)

13 cm2

14.

In the given fi gure, ABCD is a ||gm in which $DL\perp AB$ . If AB = 10 cm and DL = 4 cm then the ar(||gm ABCD) = ?

a)

40 cm2

b)

80 cm2

c)

20 cm2

d)

196 cm2

15.

In the given fi gure, ABCD and ABPQ are two

parallelograms and M is a point on AQ and BMP

is a triangle.Then, $ar(\Delta BMP)=\frac{1}{2}ar(\left|\right|gmABCD)$ is

a)

true

b)

false

16.

The midpoints of the sides of a triangle along with any of the vertices

as the fourth point makes a parallelogram of area equal to

a)

$\frac{1}{2}ar(\Delta ABC)$

b)

$\frac{1}{3}ar(\Delta ABC)$

c)

$\frac{1}{4}ar(\Delta ABC)$

d)

$ar(\Delta ABC)$

17.

The lengths of the diagonals of a rhombus are 12 cm and 16 cm. The

area of the rhombus is

a)

192 cm2

b)

96 cm2

c)

64 cm2

d)

80 cm2

18.

Two parallel sides of a trapezium are 12 cm and 8 cm long and the

distance between them is 6.5 cm. The area of the trapezium is

a)

74 cm2

b)

32.5 cm2

c)

65 cm2

d)

130 cm2

19.

In the given fi gure, ABCD is a trapezium such that $AL\perp DC$ and $BM\perp DC$ . If AB = 7 cm, BC =AD = 5 cm and AL = BM = 4 cm then ar(trap. ABCD) = ?

a)

24 cm2

b)

40 cm2

c)

55 cm2

d)

27.5 cm2

20.

In a quadrilateral ABCD, it is given that BD  16 cm. If $AL\perp BD$ and such that AL = 9 cm and CM = 7 cm then ar(quad. ABCD) = ?

a)

256 cm2

b)

128 cm2

c)

64 cm2

d)

96 cm2

Area of ||gm and triangle_1

Total questions: 20

Worksheet time: 30mins

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