Answer:
Each side is 4 cm.
Step-by-step explanation:
We need to try to express the perimeter of the figure in terms of "square sides". Basically, we're going to count how many square sides the perimeter is.
Starting from the top, the very top is 1 side.
Moving down to the right, we have another side.
Then half a side as we go to the right edge.
The right edge is 1 full side.
Another half side, going left.
Going down, we have 1 full side.
The other side is mirrored, meaning we just have to double this to get the full figure's perimiter.
Counting up our sides (we'll call one side [tex]s[/tex] ), we have:
1s + 1s + 0.5s + 1s + 0.5s + 1s = 4s + 0.5s + 0.5s = 5s
Doubling it:
5s * 2 = 10s
The whole perimiter is 8 square sides. Since we know the perimeter is 40 cm, we can find the length of one side by solving this equation:
10s = 40
Dividing both sides by 10:
s = 40/10 = 4
Answer: Each side is 4 cm.
