Answer
$\frac{26}{21}$ or $1 \frac{5}{21}$
Work Step by Step
The formula of a rectangle is
$P$= 2(side) + 2(base)
$P= 2 (\frac{1}{7}) + 2 (\frac{10}{21})$
$P= \frac{2\times1}{7}+ \frac{2\times 10}{21}$
$ P= \frac{2}{7} + \frac{20}{21}$
The least common multiple of the denominators is 21. Adjust the fractions based on the least common multiple. For the first fraction, multiply the numerator and denominator by 3.
$ \frac{2}{7} \times \frac{3}{3}= \frac{6}{21}$
Therefore,
$ P= \frac{6}{21}+ \frac{20}{21}= \frac{26}{21}= 1 \frac{5}{21}$
