#### Answer

The width of the photograph is $18$ cm long and the length of the photograph is $23$ cm long.

#### Work Step by Step

1. Find the width by solving for $x$
Let $x =$ the width of the photograph
$2(x) + 2(x+5) = 82$
$2x + 2x + 10 = 82$
$4x + 10 = 82$
$4x = 72$
$x = 18$ cm
Therefore the width of the photograph is $18$ cm long.
2. Find the length of the photograph by substituting the $x$ value
$= x + 5$
$= 18 + 5$
$= 23$ cm
Therefore the length is $23$ cm long.