Answer: Perimeter = 36 units
Explanation:
The perimeter of the polygon is the sum o the length of each side.
We would find the length of each side by drawing right triangles as shown below
There are 4 right triangles labelled A, B, C and D
The required lengths are the hypotenuses of each triangle. We would apply the pythagorean theorem which is expressed as
hypotenuse^2 = one leg^2 + other leg^2
For triangle A
one leg = 5
other leg = 12
AD^2 = 5^2 + 12^2 = 25 + 144 = 169
AD = √169 = 13
AD = 13
Triangle D has the same dimensions as A. Thus,
CD = 13
For triangle B
one leg = 3
other leg = 4
Thus,
AB = 3^2 + 4^2 = 9 + 16 = 25
AB = √25 = 5
AB = 5
Triangle B has the same dimensions as C. Thus,
Thus,
BC = 5
Perimeter = AD + CD + AB + BC = 13 + 13 + 5 + 5
Perimeter = 36 units
