A section of a boardwalk is made using 15 boards. Each board is 914 inches wide. The total width of the section is 144 inches. The spacing between each board is equal. What is the width of the spacing between each board? Write your answer in simplest form.
To find the width of the spacing between each board, we need to subtract the total width of the boards from the total width of the section.
Total width of the 15 boards = 15 boards × 914 inches/board = 13710 inches
Width of the spacing = Total width of the section - Total width of the boards
= 144 inches - 13710 inches
= -13566 inches
Since the spacing cannot be negative, we can conclude that there is an error in the given information or calculation. Please check the given information and make sure all the values are correct.
To find the width of the spacing between each board, we need to divide the total width of the section by the number of spaces between the boards.
The total width of the section is 144 inches and there are 15 boards. Since the spacing is between the boards, the number of spaces will be one less than the number of boards. So, the number of spaces will be 15 - 1 = 14.
To find the width of the spacing, we divide the total width of the section by the number of spaces:
Width of spacing = Total width of section / Number of spaces
Width of spacing = 144 inches / 14
To write the answer in simplest form, we'll simplify the fraction:
Width of spacing = 10.286 inches
Therefore, the width of the spacing between each board is approximately 10.286 inches.
9321684791526879561478657845389427............432164879019407
Assume you mean 9.14 in wide
there is one less space than board
15 boards
14 spaces
so
15 * 9.14 + 14 * x = 144
137 + 4 x = 144
4 x = 7
x = 7/4 = 1.75 in