Answer:
What is the length of the fence?
To determine the total length of the fence surrounding the two gardens, we first need to calculate the side length of the big square garden.
Given:
- Side length of the small square garden = 17 m
- Side length of the big square garden = 3 times the side length of the small garden
1. Side length of the big square garden:
\text{Side length of big garden} = 3 \times \text{Side length of small garden}
\text{Side length of big garden} = 3 \times 17
\text{Side length of big garden} = 51 \text{ m}
2. Calculating the total length of the fence:
The total length of the fence is the sum of the perimeters of the small and big gardens.
For a square garden, the perimeter is given by 4 \times \text{side length}.
The total length of the fence is:
\text{Total fence length} = 4 \times \text{Side length of small garden} + 4 \times \text{Side length of big garden}
\text{Total fence length} = 4 \times 17 + 4 \times 51
\text{Total fence length} = 68 + 204
\text{Total fence length} = 272 \text{ m}
Therefore, the total length of the fence surrounding the two gardens is 272 meters.
Step-by-step explanation:
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