Question

DIRECTION for the question: Solve the following question and mark the best possible option. In a garden, there are 10 rows and 12 columns of mango trees. The distance between two trees is 2 metres and a distance of one metre is left on all sides of the boundary of the garden. What is the length of the garden?

• A. 20 m
• B. 22 m
• C. 24 m
• D. 26 m
• E. 28 m

Hint:

Number of gaps = number of trees − 1.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
The "length" corresponds to the side with 12 columns. The distance between $n$ trees is $(n-1) \times \text{gap}$. We must also add the boundary space on both ends.
Step 2: Detailed Explanation:
1. Number of trees in a row (columns) = 12. 2. Number of gaps between 12 trees = $12 - 1 = 11$ gaps. 3. Each gap = 2 meters. 4. Total distance between first and last tree = $11 \times 2 = 22$ meters.
Step 3: Calculation:
Distance from boundary to first tree = 1 meter. Distance from last tree to boundary = 1 meter. Total Length = $22 + 1 + 1 = 24$ meters.
Step 4: Final Answer:
The length of the garden is 24 m. Thus, the correct option is (c).