Practice the AP 7th Class Maths Bits with Answers Chapter 13 Area and Perimeter on a regular basis so that you can attempt exams with utmost confidence.

## AP State Syllabus 7th Class Maths Bits 13th Lesson Area and Perimeter with Answers

Choose the correct answer.

Question 1.

The side of a square is 18cm. Then its area is ……….. cm^{2}.

A) 36

B) 384

C) 324

D) 428

Answer:

C) 324

Question 2.

The length and breadth of a rectangle are 25cm and 20cm then its perimeter is ……………. cm

A) 500

B) 90

C) 45

D) 100

Answer:

B) 90

Question 3.

The base of a parallelogram and its corresponding heights are 8cm and 3cm, its

area is …………….. cm^{2}.

A) 12

B) 11

C) 48

D) 24

Answer:

D) 24

Question 4.

Area of the given figure ……………. sq. units.

A) 72

B) 36

C) 18

D) 48

Answer:

A) 72

Question 5.

The base and height of a triangle are 10cm and 5cm, its area is

A) 50cm^{2}

B) 25cm^{2}

C) 30 cm^{2}

D) 100cm^{2}

Answer:

B) 25cm^{2}

Question 6.

In the figure BE = ………………

A) 4

B) 5

C) 6

D) 3

Answer:

D) 3

Question 7.

Area of the given figure is …………………. cm^{2}

A) 15

B) 30

C) 18

D) 24

Answer:

A) 15

Question 8.

The diametre of a wheel is 35cm then its circumference is

A) 110cm

B) 220cm

C) 95cm

D) 100cm

Answer:

A) 110cm

Question 9.

The radius of a circle is 7cm then its circumference is

A) 44cm

B) 36cm

C) 22 cm

D) 66cm

Answer:

A) 44cm

Question 10.

If the circumference is 22cm, then radius of the circle is

A) 1cm

B) 0.5cm

C) 3.5 cm

D) 14cm

Answer:

C) 3.5 cm

Question 11.

The side of a square is 27 mts, then its area is ………….. sq. mts.

A) 729

B) 629

C) 829

D) 719

Answer:

A) 729

Question 12.

If the side of a square is 7 cms, then its perimeter is ……………… cms.

A) 21

B) 14

C) 28

D) 35

Answer:

C) 28

Question 13.

If the perimeter of a square is 36 cms, then its area is ………….. sq. cms.

A) 64

B) 81

C) 49

D) 18

Answer:

B) 81

Question 14.

If l = 15 cm, b = 12 cm, then the perimeter of a rectangle is ……………… cms.

A) 180

B) 35

C) 27

D) 54

Answer:

D) 54

Question 15.

From the above sum the area of a rectangle is ………………. sq. cm.

A) 150

B) 180

C) 160

D) 170

Answer:

B) 180

Question 16.

If the area of a rectangle is 180 sq.cm its length is 20 cm, then its breadth is ……………. cm.

A) 9

B) 8

C) 7

D) 10

Answer:

A) 9

Question 17.

From the given figure, area of a parallelogram is …………….. sq. cm.

A) 40.5

B) 81

C) 40

D) 91

Answer:

D) 91

Question 18.

If the area of a parallelogram is 36 sq.cm, its base is 9 cm, then its height is ……….. cms.

A) 5

B) 6

C) 4

D) 3

Answer:

C) 4

Question 19.

If the base of a parallelogram is twice of its height and area is 98 sq. cms, then its

base is ………… cms.

A) 16

B) 21

C) 7

D) 14

Answer:

D) 14

Question 20.

From the given figure the area of a triangle is …………. sq. cms.

A) 45.5

B) 4.55

C) 0.455

D) 5.55

Answer:

B) 4.55

Question 21.

If the height of a triangle is 5 cm, and its area is 40 sq. cms, then its base is ………….. cms.

A) 16

B) 18

C) 20

D) 14

Answer:

A) 16

Question 22.

From the given figure, \(\overline{\mathbf{B E}}\) = ……………… cm

A) 1

B) 5

C) 2

D) 4

Answer:

B) 5

Question 23.

The base of a triangle is 40 cm and its area is 220 cm^{2}, then its height is ……………….. cms.

A) 12

B) 11

C) 22

D) 14

Answer:

B) 11

Question 24.

The diagonals of a rhombus are (a + b), (a – b), then its area is …………….. sq. units

A) \(\frac {1}{2}\) (2a)

B) \(\frac {1}{2}\) (a^{2} + b^{2})

C) \(\frac {1}{2}\) (a^{2} – b^{2})

D) \(\frac {1}{2}\) (a + b) (2a)

Answer:

C) \(\frac {1}{2}\) (a^{2} – b^{2})

Question 25.

Find the area of a rhombus whose diagonals are 3 cm, 7 cm is …………….. sq. cms.

A) 10.5

B) 21

C) 10

D) 14

Answer:

A) 10.5

Question 26.

The area of a rhombus is 96 cm^{2}, its one of its diagonal length is 12 cm, then the length of second diagonal is ……………….. cm.

A) 24

B) 18

C) 16

D) 8

Answer:

C) 16

Question 27.

The circumference of a circle whose radius is 3.5 cm is ……………….. cms.

A) 2.2

B) 44

C) 11

D) 22

Answer:

D) 22

Question 28.

If the circumference of a circle is 55 cm, then its diameter is ………………. cm.

A) 18

B) 17.5

C) 17

D) 16.5

Answer:

B) 17.5

Question 29.

If the circumference of a circle is 44 cm, then its diameter is …………… cms.

A) 16

B) 21

C) 7

D) 14

Answer:

D) 14

Question 30.

The ratio of circumference of a circle to its diameter is

A) 7

B) 22

C) π

D) 7/22

Answer:

C) π

Question 31.

How many times will a wheel of radius 7 mts be rotated to travel 880 mts?

A) 30

B) 20

C) 25

D) 24

Answer:

B) 20

Question 32.

How far does the tip of the minute hand move in 1 hour if its length is 14m is ………….. cms?

A) 88 cm

B) 80 cm

C) 98 cm

D) 78 cm

Answer:

A) 88 cm

Question 33.

The area of a circle whose radius is 7 cm ……………..sq. cms.

A) 140

B) 176

C) 154

D) 166

Answer:

C) 154

Question 34.

Which of the following is not true?

A) All parallelograms with equal base and equal heights are same area

B) Area of a parallelogram is related to area of a rectangle

C) A rectangle is a parallelogram

D) A parallelogram is a rectangle

Answer:

D) A parallelogram is a rectangle

Question 35.

A square and a parallelogram have the same area. If a side of the square is 8 cm and the height of a parallelogram is 4 cm, then its base is ……………… cm.

A) 18

B) 16

C) 8

D) 32

Answer:

B) 16

Question 36.

What is the area of a shaded region?

A) Area of square ABCD – area of ΔAPB

B) Area of ΔABC – area of square ABCD

C) Area of square ABCD – area of [ΔAPD + ΔBPC]

D) None

Answer:

A) Area of square ABCD – area of ΔAPB

Question 37.

Formula for area of a parallelogram is ……………… sq. units.

A) \(\frac {1}{2}\) d (h_{1} + h_{2})

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

C) \(\frac {1}{2}\) bh

D) bh

Answer:

D) bh

Question 38.

Formula for area of a triangle is ………………. sq. units.

A) \(\frac {1}{2}\) d (h_{1} + h_{2})

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

C) \(\frac {1}{2}\) bh

D) bh

Answer:

C) \(\frac {1}{2}\) bh

Question 39.

Area of a rhombus whose diagonals are d_{1}, d_{2} is …………….

A) \(\frac {1}{2}\) d (h_{1} + h_{2})

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

C) \(\frac {1}{2}\) bh

D) bh

Answer:

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

Question 40.

The area of the shaded path is

A) Area of outer square – Area of inner square

B) Area of inner square – Area Of outer square

C) Area of outer square + Area of inner square

D) None

Answer:

A) Area of outer square – Area of inner square

Question 41.

The circumference of a circle whose diameter is d units is given ………………

A) \(\frac{\pi \mathrm{d}}{2}\)

B) 2 π r

C) π d

D) \(\frac{\pi \mathrm{d}^{2}}{4}\)

Answer:

C) π d

Question 42.

What is the area of a shaded path in the given figure?

D) None

Answer: