Question

find the perimeter.
write your answer as a fraction or as a whole or mixed number.
$1 \frac{3}{19}$ mm
$1 \frac{3}{19}$ mm
$1 \frac{3}{19}$ mm
$1 \frac{3}{19}$ mm
millimeters
submit

Explanation:

Step1: Recall Perimeter of Parallelogram

A parallelogram has opposite sides equal, so perimeter \( P = 2\times(\text{length} + \text{width}) \). Here, all sides are \( 1\frac{3}{19} \) mm, so it's a rhombus (a type of parallelogram with all sides equal). Thus, perimeter is \( 4\times \text{side length} \).

Step2: Convert Mixed Number to Improper Fraction

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

Step3: Calculate Perimeter

Multiply the side length by 4: \( P = 4\times\frac{22}{19} = \frac{88}{19} \). Convert back to mixed number: \( \frac{88}{19} = 4\frac{12}{19} \) (since \( 19\times4 = 76 \), \( 88 - 76 = 12 \)).

Answer:

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