## alainabbyboo22 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 one year ago one year ago

1. alainabbyboo22

2. alainabbyboo22

I am unsure how to do that.

3. davidkircos

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

4. davidkircos

Which part are you unsure on?

5. alainabbyboo22

The whole thing.

6. davidkircos

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

7. davidkircos

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.

8. alainabbyboo22

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

9. davidkircos

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. |dw:1334176657772:dw| Then you have the triangle: |dw:1334176742025:dw| 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.