Question

Find the perimeter of the pentagon ABCDE.

• A. $3\sqrt{2}$ m
• B. 4 m
• C. 6 m
• D. $\sqrt{3}0$ m

Answer 1

The correct option is C

6 m

To find the Perimeter of ABCDE we need the following sides :

AB, BC, CD, DE and AE

AB = BC = CD = DE = 1 m

To find AE, we need to find AC and then AD using Pythagoras theorem.

AC = $\sqrt{1^2+1^2}$ = $\sqrt{2}$ m

AD = $\sqrt{1^2+(\sqrt{2}{)}^2}$ = $\sqrt{1+2}$ = $\sqrt{3}$ m

$\therefore$ AE = $\sqrt{1^2+(\sqrt{3}{)}^2}$ = $\sqrt{1+3}$ = 2 m

Hence, Perimeter of ABCDE = AB + BC + CD + DE + AE = 1 + 1 + 1 + 1 + 2 = 6 m