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The length of a school compound is 500m ...

The length of a school compound is 500m and breadth is 120m. Find the area of compound in hectares

A

3hectare

B

6hectare

C

12hectare

D

24hectare

Text Solution

AI Generated Solution

The correct Answer is:
To find the area of the school compound in hectares, we will follow these steps: ### Step 1: Calculate the Area in Square Meters The area \( A \) of a rectangle can be calculated using the formula: \[ A = \text{Length} \times \text{Breadth} \] Given: - Length = 500 meters - Breadth = 120 meters Substituting the values: \[ A = 500 \, \text{m} \times 120 \, \text{m} \] ### Step 2: Perform the Multiplication Now, we will multiply the length and breadth: \[ A = 500 \times 120 = 60000 \, \text{m}^2 \] ### Step 3: Convert Square Meters to Hectares We know that: \[ 1 \, \text{hectare} = 10,000 \, \text{m}^2 \] To convert square meters to hectares, we divide the area in square meters by 10,000: \[ \text{Area in hectares} = \frac{60000 \, \text{m}^2}{10000 \, \text{m}^2/\text{hectare}} = 6 \, \text{hectares} \] ### Final Answer The area of the school compound is: \[ \text{Area} = 6 \, \text{hectares} \] ---
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