Answer:
8x + 8y + 16
Explanation:
It is simple perimeter is the sum of all side of the polygon (figure) so
P = (4X+5) + (2Y) + (X+5) + (2Y+3) + (3X) + (4Y+3)
I write
- (4X+5) b/c it is one side of the figure
- (2Y) b/c it is one side of the figure too
- (X+5) by subtracting (3X) from (4X+5)
- (2Y+3) b/c it is one side of the figure
- (3X) b/c it is one side of the figure
- (4Y+3) by taking the sum of the 2 opposite side (2Y) and (2Y+3).
so
P = (4X+5) + (2Y) + (X+5) + (2Y+3) + (3X) + (4Y+3)
P = 8x + 8y + 16
so the perimeter of the figere is 8x + 8y + 16