Step-by-step explanation:
[tex]perimeter = 82 \: inches \\ perimeter = 2l \: + 2w \\ = 2l + 2(15 + l) \\ 82 = 2l + 30 + 2l \\ 82 - 30 = 4l \\ 52 = 4l \\ \frac{52}{4} = \frac{4l}{4} \\ l = 13 \\ w = 23 \\ \\ check \\ perimeter \: = 2l + 2w \\ = 2(13) + 2(28) \\ = 26 + 56 \\ = 82[/tex]
