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A fence is 153 cm long. It has 3 posts, each 15 cm wide. How long is each gap between the posts?

Mathematics

ScanSolve AI Answer

Answer

54 cm\text{54 cm}

Step-by-step solution

3 steps

5.

  1. Calculate the total width of the three posts.

    Total width of posts=Number of posts×Width of one post\text{Total width of posts} = \text{Number of posts} \times \text{Width of one post} Total width of posts=3×15 cm\text{Total width of posts} = 3 \times 15 \text{ cm} Total width of posts=45 cm\text{Total width of posts} = 45 \text{ cm}
  2. Subtract the total width of the posts from the total length of the fence to find the total length of the gaps.

    Total length of gaps=Total length of fence−Total width of posts\text{Total length of gaps} = \text{Total length of fence} - \text{Total width of posts} Total length of gaps=153 cm−45 cm\text{Total length of gaps} = 153 \text{ cm} - 45 \text{ cm} Total length of gaps=108 cm\text{Total length of gaps} = 108 \text{ cm}
  3. Since there are three posts, there are two gaps.

    Divide the total length of the gaps by the number of gaps to find the length of one gap.

    Length of one gap=Total length of gapsNumber of gaps\text{Length of one gap} = \frac{\text{Total length of gaps}}{\text{Number of gaps}} Length of one gap=108 cm2\text{Length of one gap} = \frac{108 \text{ cm}}{2} Length of one gap=54 cm\text{Length of one gap} = 54 \text{ cm}

    The length of one gap between two posts is 54 cm\text{54 cm}.

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