Question

how many diagonals are there?
$n = 2$
about how long is one diagonal?
$dapprox$ select
about how long is the blue path?
$lapprox$ select

Explanation:

Step1: Count diagonals

By observing the graph, we can see there are 2 diagonals.

Step2: Calculate length of one diagonal

Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. For one diagonal, assume endpoints are $(-1,-2)$ and $(0,2)$. Then $d=\sqrt{(0 + 1)^2+(2+ 2)^2}=\sqrt{1 + 16}=\sqrt{17}\approx 4.12$.

Step3: Calculate length of blue - path

The blue - path consists of 2 diagonals. So the length $l = 2d\approx2\times4.12 = 8.24$.

Answer:

n = 2
d $\approx$ 4.12
l $\approx$ 8.24