Practice the AP 9th Class Maths Bits with Answers Chapter 11 Areas on a regular basis so that you can attempt exams with utmost confidence.

## AP State Board 9th Class Maths Bits 1st Lesson Areas with Answers

Question 1.

Area of a parallelogram is the product of its

A) consecutive sides

B) opposite sides

C) base and height

D) diagonals

Answer:

C) base and height

Question 2.

If a triangle and a parallelogram are

on the same base and between the same parallels then, area of the triangle is ……………. the area of parallelogram.

A) twice

B) equal

C) half

D) none

Answer:

C) half

Question 3.

If the areas of two triangles are equal then they are congruent.

A) True

B) False ,

C) Can’t say

D) None

Answer:

C) Can’t say

Question 4.

Area is expressed in

A) square units

B) cubic units

C) units

D) circular units

Answer:

A) square units

Question 5.

If a figure A is formed by two plane figures B and C then the area of A is

A) Area of B + Area of C

B) Area of B – Area of C

C) 2 (Area of B + Area of C)

D) \(\frac{1}{2}\) (Area of B + Area of C)

Answer:

A) Area of B + Area of C

Question 6.

The areas of two congruent figures are

A) unequal

B) equal

C) can’t say

D) none

Answer:

B) equal

Question 7.

If 1 cm represents 2.5 m then area of a square with 10 m is

A) 10 cm^{2}

B) 4 cm^{2}

C) 2.5 cm^{2}

D) 1 cm^{2}

Answer:

B) 4 cm^{2}

Question 8.

In the figure, area of ΔABC =

A) 24 cm^{2}

B) 48 cm^{2}

C) 10 cm^{2}

D) 12 cm^{2}

Answer:

D) 12 cm^{2}

Question 9.

In the above figure if D is the midpoint of AC then area of ABCD =

A) 24 cm^{2}

B) 48 cm^{2}

C) 12 cm^{2}

D) 6 cm^{2}

Answer:

D) 6 cm^{2}

Question 10.

Area of the figure ABCDE is

A) 66 cm^{2}

B) 24 cm^{2}

C) 18^{2}

D) 42^{2}

Answer:

D) 42^{2}

Question 11.

In the figure, ABCD is a parallelogram. Then the area of ΔAOD =

A) ΔAOB

B) ΔBOC

C) ΔDOC

D) All the above

Answer:

D) All the above

Question 12.

In the figure, AB // CF then □ABCD =

A) □ABED

B) □ABEF

C) □ABCF

D) □ABCE

Answer:

B) □ABEF

Question 13.

In the figure, area of □ABCD if the area of ΔADE is 24 cm^{2}

A) 24 cm^{2}

C) 48 cm^{2}

B) 36 cm^{2}

D) 12 cm^{2}

Answer:

C) 48 cm^{2}

Question 14.

In the figure, ABCD is a parallelogram with area 36 cm^{2} then ar ΔADE + ΔBCE =

A) 18 cm^{2}

B) 9 cm^{2}

C) 72 cm^{2}

D) 45 cm^{2}

Answer:

A) 18 cm^{2}

Question 15.

□ABCD is a parallelogram, then ΔAEH + ΔBEF + ΔCGF + ΔDGB is (where E, F, G and H are the mid points of the sides

A) □ABCD

B) □EFGH

C) \(\frac{1}{2}\) □EFGH

D) 2 □EFGH

Answer:

B) □EFGH

Question 16.

In the figure, ar ΔPQR = 15 cm^{2} then ar ΔPQS =

A) 7.5 cm^{2}

B) 15 cm^{2}

C) 30 cm^{2}

D) 10 cm^{2}

Answer:

B) 15 cm^{2}

Question 17.

In the above figure, ar ΔPTS =

A) ΔPQT

B) ΔQRT

C) 2ΔTSR

D) \(\frac{1}{2}\) ΔPQT

Answer:

B) ΔQRT

Question 18.

In ΔPQR, A, B and C are the mid points of the sides, then □AQRC =

A) \(\frac{1}{2}\) ΔPQR

B) \(\frac{1}{4}\) ΔPQR

C) \(\frac{3}{4}\) ΔPQR

D) \(\frac{2}{3}\) ΔPQR

Answer:

C) \(\frac{3}{4}\) ΔPQR

Question 19.

If □PQRS = 30 cm^{2} then PM =

A) 6 cm

B) 3 cm

C) 20 cm

D) None

Answer:

B) 3 cm

Question 20.

A polygon can be divided into …………………… regions.

A) Square

B) Rectangular

C) Circular

D) Triangular

Answer:

D) Triangular

Question 21.

ΔABC and parallelogram ABCD are on the same base AB and in between the parallel lines AB and EF. If ar (ΔABC) = 12.5 cm^{2}, then area of parallelogram ABCD =

A) 6.25 cm^{2}

B) 25 cm^{2}

C) 12.5 cm^{2}

D) 10 cm^{2}

Answer:

B) 25 cm^{2}

Question 22.

E, F, G and H are respectively the mid points of the sides AB, BC, CD and AD of a parallelogram ABCD. If ar (ABCD) = 24 cm^{2}, then ar (EFGH) =

A) 12 cm^{2}

B) 48 cm^{2}

C) 36 cm^{2}

D) none of these

Answer:

A) 12 cm^{2}

Question 23.

In ΔABC, if ar (ΔABD) = ar (ΔACD), then AD is

A) an altitude

B) a diagonal

C) a median

D) the base

Answer:

C) a median

Question 24.

In the given figure, ΔABC, D, E, F are the mid points of sides BC, CA and AB

respectively. Then BDEF is a

A) square

B) rectangle

C) rhombus

D) parallelogram

Answer:

D) parallelogram

Question 25.

In ΔABC, E is the mid point of median AD. If ar (ΔABE) = 4.5 cm^{2}, then ar

(ΔABC) =

A) 9 cm^{2}

B) 13.5 cm^{2}

C) 18 cm^{2}

D) 27 cm^{2}

Answer:

C) 18 cm^{2}

Question 26.

Area of a parallelogram is

A) base × altitude

B) \(\frac{1}{2}\) × base × height

C) Product of the diagonals

D) Half of the product of the diagonals

Answer:

A) base × altitude

Question 27.

Area of a Rhombus is

A) \(\frac{1}{2}\) × base x height

B) Product of the diagonals

C) Half of the product of the diagonals

D) \(\frac{1}{2}\) × sum of the parallel sides × distance between them

Answer:

C) Half of the product of the diagonals

Question 28.

Area of a parallelogram is 64 cm^{2} with base 16 cm. Then its height is

A) 8 cm

B) 4 cm

C) 6 cm

D) 5 cm

Answer:

B) 4 cm

Question 29.

Area of the trapezium shown in the given figure is

A) (p + q)d

B) \(\frac{1}{2}\) pq

C) \(\frac{\mathrm{p}+\mathrm{q}}{\mathrm{d}}\)

D) \(\frac{1}{2}\) d(p + q)

Answer:

D) \(\frac{1}{2}\) d(p + q)

Question 30.

Area of Rhombus ABCD is 27 cm^{2}, if the diagonal BD is 6 cm, then the length of other diagonal AC is

A) 4.5 cm

B) 9 cm

C) 3 cm

D) 12 cm

Answer:

B) 9 cm

Question 31.

If parallelogram ABCD = 72 cm^{2}, then parallelogram ABEF =

A) 72 cm^{2}

B) 36 cm^{2}

C) 48 cm^{2}

D) 60 cm^{2}

Answer:

A) 72 cm^{2}

Question 32.

ABCD is a parallelogram. The diagonals AC and BD intersect at ‘O’. If ar (ΔAOB) = 3.5 cm^{2}, then ar (ΔABC) =

A) 10.5 cm^{2}

B) 21 cm^{2}

C) 7 cm^{2}

D) 14 cm^{2}

Answer:

C) 7 cm^{2}

Question 33.

In the given figure, D, E are points on the sides AB and AC respectively of ΔABC. Also ar (ΔDBC) = ar (ΔEBC), then

A) ar (ΔADE) = \(\frac{1}{2}\)ar (ΔDBC)

B) ar (ΔADE) = \(\frac{1}{2}\)ar (ΔEBC)

C) ar (ΔABE) = ar (ΔACD)

D) DE // BC

Answer:

D) DE // BC

Question 34.

Area of a rhombus with diagonals 6 cm and 10 cm is

A) 60 cm^{2}

B) 30 cm^{2}

C) 16 cm^{2}

D) 15 cm^{2}

Answer:

B) 30 cm^{2}

Question 35.

ABCD is a trapezium in which AB // CD. If AB = 6.5 cm, CD = 3.5 cm and DE = 2 cm, then its area is

A) 13 cm^{2}

B) 7 cm^{2}

C) 20 cm^{2}

D) 10 cm^{2}

Answer:

D) 10 cm^{2}

Question 36.

In the adjacent figure the ratio of ar (ΔAPB) and ar (ΔDQC) is ……………….

A) 1 : 2

B) 2 : 1

C) 1 : 1

D) 1 : 3

Answer:

C) 1 : 1

Question 37.

Sum of the exterior angles of an equilateral triangle

A) 360°

B) 180°

C) 120°

D) 90°

Answer:

A) 360°

Question 38.

In this figure ∠x + ∠y = ……………….

A) 80°

B) 260°

C) 180°

D) 160°

Answer:

B) 260°

Question 39.

In the given figure AC = 5.4 cm, BD = 5.8 cm and AD = 8.4 cm, BC = ………………

A) 2.6 cm

B) 2.8 cm

C) 3.0 cm

D) 3.2 cm

Answer:

B) 2.8 cm

Question 40.

The probability that a randomly thrown dart hits the square board in shaded region =

A) \(\frac{1}{4}\)

B) \(\frac{1}{2}\)

C) \(\frac{3}{4}\)

D) 1

Answer:

B) \(\frac{1}{2}\)

Question 41.

In the given diagram □ ABCD is the parallelogram with sides 3 cm and 2 cm, □ BEFP is also a parallelogram with sides 6 cm. and 1 cm. □ BQGH is another parallelogram with 4 cm. and 1.5 cm.

Which of these is more in area?

A) All are equal in areas.

B) □ ABCD

C) □ BEFP

D) □ BQGH

Answer:

A) All are equal in areas.

Question 42.

In any ΔABC, D is a point on BC such that ar (ΔABD) = ar (ΔADC then \(\overline{\mathrm{AD}}\) represents.

A) Altitude

B) Median

C) Angle bisector

D) Perpendicular Bisector

Answer:

B) Median

Question 43.

Which of the following pair of triangles have the same base and lie between the same parallels in the given figure

A) ΔAOB and ΔCOD

B) ΔAOD and ΔBOC

C) ΔABC and ΔABD

D) ΔABC and ΔADC

Answer:

C) ΔABC and ΔABD

Question 44.

In the following figure, DE = 7 cm, BC = ……………….

A) 3.5 cm

B) 7 cm

C) 14 cm

D) 49 cm

Answer:

C) 14 cm