We want to find the perimeter of the fifth square in the given sequence.
The perimeter of the fifth square is 1cm.
<em>Let's see how to get that:</em>
The perimeter of the first square is 16cm.
Remember that the perimeter of a square of side length S is:
P = 4*S
Then the side length of the first square is given by:
16cm = 4*S
16cm/4 = S = 4cm
Then she connects the midpoints of the sides to form another square (actually<u> four equal squares</u>).
The midpoint would be at half of the side length of the square, then the side length of the new squares is 4cm/2 = 2cm.
For the third square, the side length is divided by two again, to get 2cm/2 = 1cm
For the fourth square this happens again: 1cm/2 = 0.5cm
For the fift square this happens again: 0.5cm/2 = 0.25cm
Then we have a square of side length equal to 0.25cm, the perimeter will be:
p' = 4*0.25cm = 1cm
The perimeter of the fifth square is 1cm.
If you want to learn more, you can read:
brainly.com/question/5602071
