NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - Fill in the Blanks

Question 9

Why these lengths?

The perimeter means the total distance around the outside of the shaded part. So, we add all the boundary sides of the shaded region.

Step 1: Start at point A and move along the shaded boundary.

1. From A to B → add ( AB )
2. From B to M → add ( BM )
3. From M to N → add ( MN )
4. From N to G → add ( NG )
5. From G to H → add ( GH )
6. From H back to A → add ( HA )

Step 2: Write the perimeter as a sum.

( ext{Perimeter} = AB )
( quad +, BM )
( quad +, MN )
( quad +, NG )
( quad +, GH )
( quad +, HA )

Final answer: The perimeter of the shaded portion is ( AB + BM + MN + NG + GH + HA ).