Answer:

Step-by-step explanation:
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The length of the pieces are 5 foot and 8 foot.
<h3>what is Algebra?</h3>
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Total length of board is 13 foot.
let the length of first piece be x
and length of second piece be y
So, x+ y = 13 .......(1)
Now, The length of the shorter piece is 1 ft more than half the length of the longer piece
x = y/2 + 1......(2)
Now, solving (1) and (2) we get
y/2 + 1 + y = 13
3y/2 = 12
y=24/3
y=8
Then x= 13-8
x= 5
Hence, the length of the pieces are 5 foot and 8 foot.
Learn more about Algebra here:
brainly.com/question/24875240
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