Page 146-147: House Plans

Charan’s House (Page 146)

Total Plot: Length = 35 ft, Width = 30 ft. Total Area: $35 \times 30 = 1050\text{ sq ft}$.

Room Dimensions:

1. Small Bedroom:
   • Given Area = 180 sq ft. Length = 15 ft.
   • Width = $180 / 15 = 12\text{ ft}$.
2. Utility:
   • Dimensions derived from remaining space.
   • Width = Total Width (30) - Kitchen (12) - Toilet (5)? No, looking at layout:
   • Top row: Master Bed (15) + Toilet (5) + Utility (?). Total = 35? No, Master bed is square $15 \times 15$.
   • Let’s check alignment.
   • Solution: Utility is $15\text{ ft} \times 3\text{ ft}$. Area = 45 sq ft.
3. Hall:
   • Dimensions: $20\text{ ft} \times 12\text{ ft}$.
   • Area: $240\text{ sq ft}$.
4. Parking:
   • $15\text{ ft} \times 3\text{ ft}$. Area = 45 sq ft.
5. Garden:
   • $20\text{ ft} \times 3\text{ ft}$. Area = 60 sq ft.

Sharan’s House (Page 147)

Total Plot: 42 ft (Width) $\times$ 25 ft (Height). Total Area: $42 \times 25 = 1050\text{ sq ft}$.

Comparison:

• Area: Both houses have the same area ($1050\text{ sq ft}$).
• Perimeter:
  • Charan: $2 \times (35 + 30) = 130\text{ ft}$.
  • Sharan: $2 \times (42 + 25) = 134\text{ ft}$.
  • Conclusion: Sharan’s house has a greater perimeter.