Question

find the perimeter.
write your answer as a fraction or as a whole or mixed number.
1 3/19 mm
1 3/19 mm 1 3/19 mm
1 3/19 mm
millimeters

Explanation:

Step1: Identify the shape and formula

The figure is a parallelogram (or a rhombus, since all sides seem equal here), and the perimeter of a parallelogram is \( P = 2\times(a + b) \), but since all four sides are equal (\( a = b = 1\frac{3}{19} \) mm), it's a rhombus, so perimeter \( P = 4\times s \), where \( s \) is the length of one side.

Step2: Convert the mixed number to improper fraction (optional, but easier for multiplication)

\( 1\frac{3}{19}=\frac{1\times19 + 3}{19}=\frac{22}{19} \) mm.

Step3: Calculate the perimeter

Multiply the side length by 4: \( P = 4\times\frac{22}{19}=\frac{88}{19} \). Now convert back to mixed number: \( \frac{88}{19}=4\frac{12}{19} \) (since \( 19\times4 = 76 \), \( 88 - 76 = 12 \)). Alternatively, using mixed numbers directly: \( 4\times1\frac{3}{19}=4\times1 + 4\times\frac{3}{19}=4+\frac{12}{19}=4\frac{12}{19} \).

Answer:

\( 4\frac{12}{19} \)