Question 171692
All that's needed is the formula for perimeter
Let {{{P}}}= perimeter
Let {{{h}}}= height
Let {{{w}}}= width
To find the perimeter, you start at a certain point
on the closed figure and go all the way around
returning to your starting point
{{{P = h + w + h + w}}}
{{{P = 2h + 2w}}}
Given:
{{{P = 11}}}ft
{{{3h = 8w}}}
{{{h = (8/3)*w}}}
-----------------
{{{11 = 2h + 2w}}}
{{{11 = 2*(8/3)*w + 2w}}}
Multiply both sides by {{{3}}}
{{{33 = 16w + 6w}}}
{{{22w = 33}}}
{{{w = 1.5}}}ft
{{{h = (8/3)*w}}}
{{{h = (8/3)*(3/2)}}}
{{{h = 4}}}ft
The frame is 4 ft high anf 1.5 ft wide
check:
{{{11 = 2*4 + 2*1.5}}}
{{{11 = 8 + 3}}}
{{{11 = 11}}}
OK