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timama [110]
3 years ago
5

Help 15 pts. Please answer asap

Mathematics
2 answers:
Gnoma [55]3 years ago
5 0

Answer:

The answer is D.

Step-by-step explanation:

marta [7]3 years ago
4 0

Answer:

D. 4\sqrt{a^{2}+b^{2}}

Step-by-step explanation:

We can see the shape can be cut into 4 right triangles.  We can use pythagoreans theorem to find the length of the hypotenuse.  

The distance from 0 to a represents one side, and the distance from 0 to b represents the other side.

So

a^{2} +b^{2} =C^{2}

(C represents the hypotenuse)

So the hypotenuse can be written as \sqrt{a^{2} +b^{2} }

Since four of these lines make up the perimeter,

the total perimeter will be 4\sqrt{a^{2}+b^{2}}

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