Answer:
P = 4x +8
Explanation:
You want the perimeter of the Z-shaped figure shown.
Horizontal edges
The length of the top horizontal edges is x + x = 2x. The length of the bottom horizontal edges is the same, so the sum of the lengths of the horizontal edges is ...
2x +2x = 4x . . . . . . horizontal edges
Vertical edges
The length of the left vertical edge is 1+3 = 4 units. The length of the right vertical edge is the same, so the sum of the lengths of the vertical edges is ...
4 +4 = 8 . . . . . . . vertical edges
Perimeter
The edges of the figure are either horizontal or vertical, so the sum of the lengths of all the edges is ...
P = 4x + 8 . . . . . . . perimeter of the figure
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