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

Exe-17 (A)

Exe-17 (B)


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 × r2 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 = a2 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 area is the region covered by shape or figure whereas perimeter is the distance covered by outer boundary of the shape.
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?

The perimeter of any polygon is equal to the sum of its sides.
Perimeter = Sum of all sides

What is the area and perimeter of a circle?

A circle is a curved shape and its area and perimeter are given by its radius.
Area of circle is πr2
Perimeter or circumference of circle is 2πr.

What is the perimeter and area example?

If a square has side length of 2cm then,
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?

The area of rectangle is equal to the product of its length and breadth.
Area = Length x Breadth

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


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