Question

If the perimeter of square 2 is 200 units, and the perimeter of square 1 is 150 units, what is the perimeter of square 3?

A. 62.5 units
B. 500 units
C. 125 units
D. 250 units

Answer 1

I am unsure how to do that.

Answer 2

Find the side lengths of both. Perimeter/4 and then use the pythagorean theorem.

Answer 3

Which part are you unsure on?

Answer 4

The whole thing.

Answer 5

Ok so find the side lengths of the Square 1 and 2 first. Side Length = Perimeter /4 Can you do that?

Answer 6

Then, (Side Length 1)^2+(Side length 2)^2 = (Side Length 3)^2. And once you solve for Side Length 3 you multiply it by 4 to the perimeter.

Answer 7

Can this be put into equation form? Like more understandably? I'm just really confused on it right now. :/

Answer 8

Sure. Square 1 has a perimeter of 150. That means that each side is one fourth of that because all sides are the same length on a square. So 150/4 = 37.5
Do the same thing for Square 2. 200/4 = 50.

Then you have the triangle:

And when you solve for the hypotenuse, that is the side length of the third square.
\[(37.5)^2+50^2=c^2\]
Solving:
\[\sqrt{(150/4)^2+50^2}\]
Which equals 62.5. Then times that by 4 to get your answer of 250 for the perimeter of square 3.