Question

A garden is 24 m long and 14 m wide. There is a path 1 m wide outside the garden along its sides. If the path is to be constructed with square marble tiles 20 cm $\times$ 20 cm, find the number of tiles required to cover the path?

• A. \(1500\)
• B. \(2000\)
• C. \(1800\)
• D. \(2200\)
• E. \(2400\)

Answer 1

The Correct Option is B

Concept:

• Path area = Outer rectangle $-$ Inner rectangle

Step 1: Outer dimensions.
\[ (24 + 2) \times (14 + 2) = 26 \times 16 = 416 \]
Step 2: Garden area.
\[ 24 \times 14 = 336 \]
Step 3: Path area.
\[ 416 - 336 = 80 \text{ m}^2 \]
Step 4: Tile area.
\[ 20 \text{ cm} = 0.2 \text{ m} \Rightarrow \text{Tile area} = 0.2 \times 0.2 = 0.04 \]
Step 5: Number of tiles.
\[ \frac{80}{0.04} = 2000 \]
Step 6: Option analysis.

• (A) Incorrect $\times$
• (B) Correct \checkmark
• (C) Incorrect $\times$
• (D) Incorrect $\times$
• (E) Incorrect $\times$

Conclusion:
Thus, the correct answer is
Option (B).