Respuesta :

Answer: The length  is 12 ft.

Step-by-step explanation:

So a room is likely to be  in a shape of a rectangle. And to to find the perimeter of a rectangle will use the formula   P = 2w + 2l   so in this case we know the perimeter and and the width but we need to find the length.

so using the formula  we could do this

43 = 2(9.5)  + 2l  

43 = 19 + 2l     subtract 19 from both sides

-19    -19

24 = 2l                Divide both sides by 2

l = 12        

The length is 12.

Check:   43 = 2(9.5) + 2(12)

            43 = 19 + 24

              43 = 43  correct so the length is 12.

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