The correct answer is 6x + 4
Step-by-step explanation:
The process to find the perimeter of shapes such as triangles, squares or rectangles is to determine the length of each side and add it. This implies in the case of the backyard the formula is length + length + width + width or 2 (length + side).
Additonally, in this rectangle the lenght is expressed by 2x -1 while the width is expressed by x + 3. Now, lets add these two expressions to find (lenght + side). Remember to add separately expressions containing letters and those containing only numbers:
2x - 1
+ x + 3 ___________________
3x +2
Finally, mutiply the expression by 2
Perimeter= 2 (lenght + width)
Perimeter = 2 (3x + 2)
Perimeter = 6x + 4