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Revision Notes for Class 7 Mathematics Chapter 11 Perimeter and Area
Class 7 Mathematics students should refer to the following concepts and notes for Chapter 11 Perimeter and Area in Class 7. These exam notes for Class 7 Mathematics will be very useful for upcoming class tests and examinations and help you to score good marks
Chapter 11 Perimeter and Area Notes Class 7 Mathematics
Perimeter and Area
11.1 Perimeter
A perimeter is a path that surrounds an area. The word comes from the Greek peri (around) and meter (measure). The term may be used either for the path or its length - it can be thought of as the length of the outline of a shape. The perimeter of a circular area is called circumference.
11.2 Area
Area is a quantity that expresses the extent of a two-dimensional surface or shape in the plane.
11.3 Formulae to Find Area and Perimeter
Square
If ‘a’ is the length of side of a square, then its
i) Perimeter, P = 4 x a units
ii)Area, A = a2 square units
Note:
1.If perimeter ‘P’ of a square is given, then its side, a = P/4 units
2. If area ‘A’ of a square is given, then its side, a = Square root of A
Rectangle
If ‘l’ is the length and ‘b’ is the breadth of a rectangle, then its
i) Perimeter , P= 2 x ( l + b ) units
ii) Area, A = l x b square units
Note
i) If perimeter ‘P’ and length ‘l’ of a rectangle are given, then its breadth, b = (P/2) – l units
ii) If perimeter ‘P’ and breadth ‘l’ of a rectangle are given, then its length, l = (P/2) – b units
iii) If area ‘A’ and length ‘l’ of a rectangle are given, then its breadth, b = (A/l)
iv) If area ‘A’ and breadth ‘l’ of a rectangle are given, then its length, l = (A/b)
Generalising For Other Congruent Parts of Rectangles
If a rectangle is composed of ‘n’ number of congruent polygons, then area of each polygon = (Area of rectangle/ n)
Note:
If area of one congruent polygon is given, then area of rectangle composed of n congruent polygon = area of each polygon x n
Parallelogram
If ‘b’ is the base and ‘h’ is the height of a parallelogram then its area,
A = b x h sq. units
Note:
i) If area ‘A’ and base ‘b’ of a parallelogram are given, then its height h, h = (A/b)
ii) If area ‘A’ and height ‘h’ of a parallelogram are given, then its base b = (A/h)
Triangle
If 'b' is the base and 'h' is the height of a triangle then its area,
Note:
i) All the congruent triangles are equal in area but the triangles equal in area need not be congruent.
ii) If area ‘A’ and base ‘b’ of a triangle are given, then its height h, h = (2A/b)
iii) If area ‘A’ and height ‘h’ of a triangle are given, then its base b = (2A/h)
Circle
If r is the radius of the circle, then its
Circumference, C = π d = π × 2r units
ii)Area, A = π r2 square units
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CBSE Class 7 Mathematics Chapter 11 Perimeter and Area Notes
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Notes for Mathematics CBSE Class 7 Chapter 11 Perimeter and Area
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Chapter 11 Perimeter and Area Notes for Mathematics CBSE Class 7
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Chapter 11 Perimeter and Area CBSE Class 7 Mathematics Notes
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Notes for CBSE Mathematics Class 7 Chapter 11 Perimeter and Area
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