Question

find the perimeter. write your answer as a fraction or as a whole or mixed number. 1 1/18 mm (on top), 1 1/18 mm (left), 1 1/18 mm (right), 1 1/18 mm (bottom) blank millimeters

Explanation:

Step1: Identify the shape and formula

The shape is a square, so the perimeter \( P \) of a square is given by \( P = 4\times s \), where \( s \) is the length of a side. Here, \( s = 1\frac{1}{18}\) mm.

Step2: Convert the mixed number to an improper fraction

\( 1\frac{1}{18}=\frac{1\times18 + 1}{18}=\frac{19}{18}\)

Step3: Calculate the perimeter

Multiply the side length by 4: \( P = 4\times\frac{19}{18}=\frac{76}{18}\)

Step4: Simplify the fraction

Simplify \(\frac{76}{18}\) by dividing numerator and denominator by 2: \(\frac{38}{9}\)

Step5: Convert back to a mixed number (optional, but the problem allows mixed numbers)

\(\frac{38}{9}=4\frac{2}{9}\) (since \( 9\times4 = 36 \), and \( 38 - 36 = 2 \))

Answer:

\( 4\frac{2}{9} \) (or \(\frac{38}{9}\))