Question 1053096
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3L = 8W.

Divide both sides by 24. You will get

{{{L/8}}} = {{{W/3}}}.

Let x be {{{L/8}}} = {{{W/3}}}. Then

L = 8x, W = 3x.

The perimeter is  2W + 2L = 2*(3x) + 2*(8x).

It gives you an equation

2*(3x) + 2*(8x) = 11.

Simplify and solve for x:

6x + 16x = 11,

22x = 11,  x = {{{11/22}}} = 0.5 ft.

Then L = 8x = 8*0.5 = 4 ft;  W = 3x = 3*0.5 = 1.5 ft.

<U>Answer</U>.  4 ft x 1.5 ft.
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