#### Answer

$P=14\dfrac{1}{2}$

#### Work Step by Step

Substitute the given values of $l$ and $w$ into the formula to obtain:
$P=\left(2 \times 4\dfrac{3}{4}\right) + \left(2 \times 2\dfrac{1}{2}\right)$
Write each mixed number as an improper fraction to obtain:
$P=\left(2\times \frac{4(4)+3}{4}\right) +\left(2 \times \frac{2(2)+1}{2}\right)
\\P=\left(2 \times \frac{19}{4}\right)+\left(2 \times \frac{5}{2}\right)$
Cancel common factors to obtain:
$\require{cancel}
\\P=\left(\cancel{2} \times \frac{19}{\cancel{4}^2}\right)+\left(\cancel{2} \times \frac{5}{\cancel{2}}\right)
\\P=\dfrac{19}{2} + 5
\\P=9\dfrac{1}{2}+5
\\P=(9+5)+\dfrac{1}{2}
\\P=14+\dfrac{1}{2}
\\P=14\dfrac{1}{2}$