Geometry sammie bought just enough fencing to bordereither a rectangular plot or a square plot, as shown. perimetersof the plots are the same. how many meters offencing did she buy? r ru on higher order thinking2) meters(x meters(3x t meters.(x 1) meters

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 =

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