Question

What is the perimeter of the polygon in the diagram?

`2sqrt((a-b)^2)`

`4(a + b)^2`

`2(a^2 + b^2)`

`4sqrt(a^2+b^2)`

Answer 1

What do you think the answer is?

Answer 2

B

Answer 3

Afraid not. We know all of the sides are of equal length, so do you know how to find the length of one side? When we have that, we just need to multiply it by 4.

Answer 4

No i don't know how to find the length

Answer 5

It's a right angled triangle with sides a and b, so we can use Pythagoras' Theorem.

Answer 6

a^2+b^2 = c ??

Answer 7

c^2, but yes. So \[c=\sqrt{a^2+b^2}\]
We have 4 of these, so the answer is \[4\sqrt{a^2+b^2}\]

Answer 8

Thank you :)

Answer 9

No problem :)