Question

perimeter =
area =

Explanation:

Step1: Calculate perimeter

Perimeter is sum of all side - lengths.
$15 + 6+6 + 5+\sqrt{5^{2}+(20 - 16)^{2}}+16+(20 - 6)+(15 - 6)$
$=15 + 6+6 + 5+\sqrt{25 + 16}+16+14+9$
$=15 + 6+6 + 5+\sqrt{41}+16+14+9$
$\approx15 + 6+6 + 5+6.4+16+14+9$
$=77.4$ m

Step2: Calculate area

Split the figure into a rectangle, a square and a right - triangle.
Area of rectangle 1: $(15 - 6)\times20=180$ m²
Area of square: $6\times6 = 36$ m²
Area of right - triangle: $\frac{1}{2}\times(20 - 16)\times5=10$ m²
Total area: $180+36 + 10=226$ m²

Answer:

Perimeter = $77.4$ m, Area = $226$ m²