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Daniel helps his grandpa trim the bushes in the gardens every week. There are two gardens in his house. The small square garden has a side of 17 m. Beside it is a big square garden which has a side 3 times as long as the small garden. A fence surrounds the gardens as shown below. What is the length of the fence?

Sagot :

johnreystarosa46

Answer:

What is the length of the fence?

  • 272 meters.

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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