Question

find the area and perimeter. round to the nearest hundredth at the end. perimeter = type your answer... area = type your answer...

Explanation:

Step1: Calculate the perimeter

The perimeter of a triangle is the sum of its side lengths.
Perimeter \(=16 + 16+20\)
\(=52\) m

Step2: Calculate the semi - perimeter (\(s\))

\(s=\frac{16 + 16+20}{2}=\frac{52}{2} = 26\) m

Step3: Use Heron's formula to calculate the area (\(A\))

Heron's formula is \(A=\sqrt{s(s - a)(s - b)(s - c)}\), where \(a = 16\), \(b = 16\), \(c = 20\)
\(A=\sqrt{26(26 - 16)(26 - 16)(26 - 20)}\)
\(=\sqrt{26\times10\times10\times6}\)
\(=\sqrt{26\times600}\)
\(=\sqrt{15600}\)
\(\approx124.90\) \(m^{2}\)

Answer:

Perimeter = \(52\) m
Area = \(124.90\) \(m^{2}\)