Question

mcr3u unit 1 test due: september 24th @10:30am app / 18 t&i /23 1.calculate the perimeter. leave your answer in simplest form. 3a

Explanation:

Step1: Simplify $\sqrt{20}$

$\sqrt{20}=\sqrt{4\times5}=2\sqrt{5}$

Step2: Calculate the perimeter

The perimeter $P$ of the hexagon is the sum of all its side - lengths. There are 4 sides of length $\sqrt{20}$ and 2 sides of length $3\sqrt{15}$.
$P = 4\sqrt{20}+2\times3\sqrt{15}$
Substitute $\sqrt{20}=2\sqrt{5}$ into the above formula:
$P = 4\times2\sqrt{5}+6\sqrt{15}=8\sqrt{5}+6\sqrt{15}$

Answer:

$8\sqrt{5}+6\sqrt{15}$