Question

Sammie bought just enough fencing to border either a rectangular plot or a square plot,

shown. The perimeters of the plots are the same. How many feet of fencing did she buy?


(3x + 6) feet.

———————

| |

| | (x - 1) feet

|__________|


(x + 6) feet

___________

| |

| |

| | (x + 6) feet

| |

|__________ |


Sammie bought____feet of fencing.

Answer 1

Answer:

3.5 feet

Step-by-step explanation:

The question isn't formatted properly.

We have:

(x + 6) feet on each side of the square

(3x + 6) feet horizontally on the rectangle

(x - 1) feet vertically on the rectangular

First, we need to determine the perimeter of the square:

$Perimeter = 4 * Length$

$Perimeter = 4 * (x + 6)$

$Perimeter = 4x + 24$

Next, we determine the perimeter of the rectangle

$Perimeter = 2(Length + Width)$

$Perimeter = 2(3x + 6 + x - 1)$

$Perimeter = 2(3x + x+ 6 - 1)$

$Perimeter = 2(4x+ 5)$

$Perimeter = 8x+ 10$

Equate both perimeters:

$8x + 10 = 4x + 24$

Collect Like Terms

$8x - 4x = 24 - 10$

$4x = 14$

Solve for x

$x = 14/4$

$x = 3.5$