Question

1. calculate the perimeter. leave your answer in simplest form. 3a

mcr3u unit 1 test due: september 24th @10:30am
app /18 t&i 23

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a polygon is the sum of the lengths of its sides.

Step2: Identify side - lengths

The side - lengths of the polygon are $\sqrt{20},\sqrt{20},3\sqrt{5},3\sqrt{5},\sqrt{20},\sqrt{20}$.

Step3: Simplify $\sqrt{20}$

We know that $\sqrt{20}=\sqrt{4\times5}=2\sqrt{5}$.

Step4: Calculate the perimeter

$P = 4\sqrt{20}+2\times3\sqrt{5}$. Substitute $\sqrt{20}=2\sqrt{5}$ into the formula: $P = 4\times2\sqrt{5}+6\sqrt{5}=8\sqrt{5}+6\sqrt{5}=14\sqrt{5}$.

Answer:

$14\sqrt{5}$