NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - Matching Shapes with Perimeters

Question 8

Idea: The perimeter is the total length around a shape. We add all the sides.

(A) Rectangle 6 × 4

For a rectangle: ( ext{Perimeter} = 2 imes (ell + b) )

Here, ( ell = 6 ) and ( b = 4 )

( ell + b = 6 + 4 = 10 )

( 2 imes 10 = 20 )

So, perimeter = 20.

(B) Square (side 5)

For a square: ( ext{Perimeter} = 4 imes ext{side} )

Side ( = 5 )

( 4 imes 5 = 20 )

So, perimeter = 20.

(C) Equilateral Triangle (each side 6)

For an equilateral triangle: ( ext{Perimeter} = 3 imes ext{side} )

Side ( = 6 )

( 3 imes 6 = 18 )

So, perimeter = 18.

(D) Isosceles Triangle (sides 4, 4, 2)

Add all sides: ( 4 + 4 + 2 )

( 4 + 4 = 8 )

( 8 + 2 = 10 )

So, perimeter = 10.

Matches:

(A) → (iii) 20

(B) → (i) 20

(C) → (ii) 18

(D) → (i) 10

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