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The section of the boardwalk shown is made using boards that are each 9 1/4 inches wide. The spacing between each board is equal. What is the width of the spacing between each board?

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Answer:

The answer is 3/8! It is that because of mathematics

The spacing between each board is equal therefore, the width of the spacing between each board is 0.375 inches and this can be determined by forming a linear equation in one variable.

Given :

  • A section of a boardwalk is made using 15 boards.
  • Each board is 9 1/4 inches wide.
  • The total width of the section is 144 inches.
  • The spacing between each board is equal.

Let 'a' be the width of the spacing between each board. Then total width of the section is given by:

[tex]\left(9\dfrac{1}{4}\times 15\right) +14a = 144[/tex]

[tex]\left(\dfrac{37}{4}\times 15\right) +14a = 144[/tex]

Simplify the above linear equation.

138.75 + 14a = 144

14a = 5.25

a = 0.375 inches

The spacing between each board is equal therefore, the width of the spacing between each board is 0.375 inches.

For more information, refer to the link given below:

https://brainly.com/question/22122594

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