# RS Aggarwal Class-9 Perimeter and Area of Plane Figures ICSE Maths

**RS Aggarwal Class-9 Perimeter and Area** of Plane Figures ICSE Maths Goyal Brothers Prakashan Chapter-17. We provide step by step Solutions of Exercise / lesson-17 **Perimeter and Area** of Plane Figures for ICSE** Class-9 RS** **Aggarwal** Mathematics .

Our Solutions contain all type Questions with Exe-17(A), Exe-17(B), with Notes on **Perimeter and Area** of Plane Figures to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-9 Mathematics.

Board | ICSE |

Publications | Goyal brothers Prakshan |

Subject | Maths |

Class | 9th |

Chapter-17 | Perimeter and Area of Plane Figures |

Writer | RS Aggrawal |

Book Name | Foundation |

Topics | Solution of Exe-17(A), Exe-17(B), with Notes on Perimeter and Area of Plane Figures to develop skill and confidence. |

Academic Session | 2021-2022 |

**RS Aggarwal Class-9 Perimeter and Area** of Plane Figures ICSE Maths Goyal Brothers Prakashan Chapter-17

**– : Select Topics : –**

**Notes on Perimeter and Area**

**Notes on Perimeter and Area**

**Perimeter:**

The length of the boundary of a closed figure is called the perimeter of the plane figure. The units of perimeter are same as that of length, i.e., m, cm, mm, etc

**Area:**

A part of the plane enclosed by a simple closed figure is called a plane region and the measurement of plane region enclosed is called its area.

Area is measured in square units.

*The units of area and the relation between them is given below: *

**Perimeter and Area of Rectangle:**

● The perimeter of rectangle = 2(l + b).

● Area of rectangle = l × b; *(l and b are the length and breadth of rectangle)*

● Diagonal of rectangle = √(l² + b²)

**Perimeter and Area of the Square:**

● Perimeter of square = 4 × S.

● Area of square = S × S.

● Diagonal of square = S√2; *(S is the side of square)*

**Perimeter and Area of the Triangle:**

- Perimeter of triangle = (a + b + c);
*(a, b, c are 3 sides of a triangle)* - Area of triangle = √(s(s – a) (s – b) (s – c));
*(s is the semi-perimeter of triangle)* - S = 1/2 (a + b + c)
- Area of triangle = 1/2 × b × h;
*(b base , h height)* - Area of an equilateral triangle = (a²√3)/4;
*(a is the side of triangle)*

**Perimeter and Area of the Parallelogram:**

- Perimeter of parallelogram = 2 (sum of adjacent sides)
- Area of parallelogram = base × height

**Perimeter and Area of the Rhombus:**

- Area of rhombus = base × height
- Area of rhombus = 1/2 × length of one diagonal × length of other diagonal
- Perimeter of rhombus = 4 × side

**Perimeter and Area of the Trapezium:**

● Area of trapezium = 1/2 (sum of parallel sides) × (perpendicular distance between them)

= 1/2 (p₁ + p₂) × h (p₁, p₂ are 2 parallel sides)

**Circumference and Area of Circle:**

● Circumference of circle = 2πr

= πd

**Where**, π = 3.14 or π = 22/7

r is the radius of circle

d is the diameter of circle

● Area of circle = πr²

● Area of ring = Area of outer circle – Area of inner circle.

Shape |
Area |
Perimeter |
Terms |

Circle | A = π × r^{2} |
Circumference = 2πr | r = radius of the circle |

Triangle | A = ½ × b × h | S = a+b+c | b = base, h = height
a,b and c are the sides of the triangle |

Square | A = a^{2} |
P = 4a | a = length of side |

Rectangle | A = l × w | P = 2(l + w) | l = length, w = width |

Parallelogram | A = b × h | P = 2(b + h) | b=base, h=vertical height |

**Exe-17-(A, )RS Aggarwal Class-9 Perimeter and Area** of Plane Figures ICSE Maths Goyal Brothers Prakashan

Page 208-209

Question 1:

Find the area of a triangle whose base is 15 cm and the corresponding height is 9.6 cm.

Question 2:

Find the area ……….. to the longest side.

Question 3:

Find the area …………………. side of the triangle.

Question 4:

………………….

…………………….

……………………

Question 10:

Find the perimeter …………………….. decimal placess.

Question 11:

The length of ……………………… of the triangle.

Question 12:

……………………….

………………………..

…………………………

Question 19:

The altitude drawn to ……………………… of the triangle.

Question 20:

The area …………………………….. of the triangle.

* ***Exe-17 (B) (form Q-1 to 26 )**

**RS Aggarwal Class-9 Perimeter and Area of Plane Figures ICSE Maths Goyal Brothers Prakashan **

**Page 215-217**

Question 1:

Find the area of a ……………………………… 11.6 cm respectively.

Question 2:

The diagonals of ………………………… of the quadrrilateral.

Question 3:

………………………..

………………………..

…………………………

Question 8:

The perimeter ………………….. length and area.

Question 9:

The perimeter …………………… field in m².

Question 10:

………………………

……………………….

………………………

Question 16:

A room is ………………………….. per metre.

Question 17:

A rectangular ……………………… find the number of tiles.

Question 18

…………………………..

…………………………..

…………………………..

Question 24:

Find the area ………………………….. is 24 cm.

Question 25:

…………………….

………………………..

………………………….

Question 30:

The adjoining …………………… of the field.

** **Frequently Asked Questions – FAQs

What is the difference between area and perimeter?

The unit of area is given by square unit or unit2 and unit of perimeter is same as the unit.

#### What is the formula for perimeter?

Perimeter = Sum of all sides

#### What is the area and perimeter of a circle?

Area of circle is πr2

Perimeter or circumference of circle is 2πr.

#### What is the perimeter and area example?

Area of square = side2 = 22 = 4cm2

Perimeter of square = sume of all sides = 2+2+2+2 = 8

#### What is the formula for area of rectangle?

Area = Length x Breadth

–: End of **RS Aggarwal Class-9 Perimeter and Area** of Plane Figures Solutions :–

Return to – **RS Aggarwal Solutions for ICSE Class-9 Goyal Brothers Prakashan**

Thanks