The length of each of the seven pieces is 6.75 inches
Further explanation
Jim Nasium is building a tree house for his two daughters. He cut 12 pieces of wood from a board that is 128 inches long. He cuts 5 pieces that measure 15.75 inches each, and 7 pieces evenly cut from what is left.
Let we solve this:
He cuts 5 pieces that measure 15.75 inches each, therefore
[tex]15.75 inches* 5 pieces= 78.75 inches[/tex]
He cut 12 pieces of wood from a board that is 128 inches long, so
[tex]128 inches - 78.75 inches= 49.25 inches[/tex]
Jim calculates that due to the width of his cutting blade he will lose a total of 2 inches of wood after making all of the cuts, so
[tex]49.25 inches - 2 inches = 47.25 inches[/tex]
He cuts 5 pieces that measure 15.75 inches each, and 7 pieces evenly cut from what is left, therefore
[tex]\frac{ 47.25 inches}{7} = 6.75 inches[/tex]
Therefore, the length of each of the seven pieces is 6.75 inches
Learn more
- Learn more about seven pieces https://brainly.com/question/1091707
- Learn more about inches https://brainly.com/question/619484
- Learn more
about board https://brainly.com/question/3072647
Answer details
Grade: 5
Subject: math
Chapter: the length
Keywords: seven pieces, inches, the length, daughters, board
