The total area of the outer rectangle is 96 square. Half this area is 48 square units. The inner rectangle could be 8 units × 6 units.
class 6 Mathematics Textbook Chapter 6 question answer
class 6 Mathematics Chapter 6 Perimeter and Area solutions
Draw a rectangle of size 12 units × 8 units. Draw another rectangle inside it, without touching the outer rectangle that occupies exactly half the area.
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The area of the outer rectangle is calculated as:
Area = Length × Width = 12 × 8 = 96 square units.
Half the area is:
Half Area = 96 ÷ 2 = 48 square units.
For the inner rectangle to have this area, one possible set of dimensions is:
Length = 8 units, Width = 6 units.
Verification:
Area of inner rectangle = 8 × 6 = 48 square units, which is exactly half of 96.
Thus, the inner rectangle can be 8 units × 6 units.
For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/