Answer:
Length of the fencing is 14 meters.
Step-by-step explanation:
Sammie bought just enough fencing to border either a rectangular or a square plot given in the question.
That means perimeter (length of fencing) of both the figures will be same.
Perimeter of square = 4×side
= 4(x + 2) meters
Perimeter of the rectangle = 2(length + width)
= 2[(3x + 2) + (x - 1)]
= 2[3x + x + 2 - 1]
= 2[4x + 1]
Since perimeter of both figures are same so
2(4x + 1) = 4(x + 2)
8x + 2 = 4x + 8
8x - 4x = 8 - 2
4x = 6
x = \(\frac{6}{4}\)
x = 1.5 meters
Therefore, length of the fence = perimeter of the square
= 4(x + 2)
= 4( 1.5 + 2)
= 4×3.5
= 14 meters
