Question 442911
The perimeter formula is {{{P = 2l + 2w}}} where P is the perimeter, l is the length and w is the width.

They say that the length is 5 inches longer than the width, then {{{w+5 = l}}}

We know {{{P = 38}}}

So, putting it all together:

{{{ 38 = 2l +2w = 2(w+5) + 2w}}}
{{{2w+10 + 2w = 4w+10 = 38}}}
{{{4w = 28}}}
{{{w = 7}}}

We know our width is 7.

Plug it back into w+5 =l.

{{{l = 7+5 = highlight(12)}}}

Our length is 12.

So our dimensions are 12 x 7.

Let's check this to make sure.

They say the perimeter is 38, then 12(2) + 7(2) better = 38.

24 + 14 = 38.  Check.

Hope this helps!