You can
put this solution on YOUR website!we can solve this question by making a two linear equations to solve for the shortest piece.
lets make the shortest piece x
the middle piece y
since the longest board is 3 times larger than the smallest board we can express it as 3x
3x=2y
we can make the standard equation by adding all the x's and y to equal 10
3x+x+y=10
by using the substitution method you can solve for x by isolating y in the first equation and substituting it in for x
(3/2)x=y
4x+(3/2)x=10
5.5X=10
divide both sided by 5.5 to isolate x
x=(20/11)
So the largest piece is (60/11)ths and the middle piece is (30/11)ths.
so your answers are
smallest peice=(20/11)ft.
middle piece=(30/11)ft.
largest piece=(60/11)ft.