Question

find the perimeter.
write your answer as a fraction or as a whole or mixed number.
$2\frac{3}{20}$ km $2\frac{3}{20}$ km
$4\frac{1}{10}$ km
\boxed{} kilometers

Explanation:

Step1: Recall perimeter of triangle

Perimeter of a triangle is the sum of its three sides. So we need to add \(2\frac{3}{20}\), \(2\frac{3}{20}\) and \(4\frac{1}{10}\).

Step2: Convert mixed numbers to improper fractions (or add directly as mixed numbers)

First, add the two equal sides: \(2\frac{3}{20}+2\frac{3}{20}\).
Adding the whole numbers: \(2 + 2=4\).
Adding the fractions: \(\frac{3}{20}+\frac{3}{20}=\frac{6}{20}=\frac{3}{10}\).
So \(2\frac{3}{20}+2\frac{3}{20}=4\frac{3}{10}\).

Step3: Add the third side

Now add \(4\frac{3}{10}\) and \(4\frac{1}{10}\).
Adding the whole numbers: \(4 + 4 = 8\).
Adding the fractions: \(\frac{3}{10}+\frac{1}{10}=\frac{4}{10}=\frac{2}{5}\).
So the sum is \(8\frac{2}{5}\).

Alternatively, we can convert all to improper fractions:
\(2\frac{3}{20}=\frac{2\times20 + 3}{20}=\frac{43}{20}\), \(4\frac{1}{10}=\frac{4\times10+1}{10}=\frac{41}{10}=\frac{82}{20}\).
Sum of three sides: \(\frac{43}{20}+\frac{43}{20}+\frac{82}{20}=\frac{43 + 43+82}{20}=\frac{168}{20}=\frac{42}{5}=8\frac{2}{5}\).

Answer:

\(8\frac{2}{5}\)