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Quinn needs to buy fabric for a border to sew onto all four edges of a tablecloth. He also needs an extra 0.875 feet of fabric to make a matching potholder. The length of the table cloth is 4/3 of its width (w) in feet. The total amount of fabric needed (f), in feet, is represented by the equation below.
f=2 (w+4/3 w) + 0.875
Quinn needs 113/8 feet of fabric for the border of the tablecloth and the potholder. What is the width of Quinn's tablecloth?

Respuesta :

AllisonF
it is 159/56 you need to substitute 113/8 for F and solve from there, hope this helps!
rahulsharma789888

The width of Quinn's tablecloth is 2.839 inch

Quinn needs to buy fabric for a border to sew onto all four edges of a tablecloth.

[tex]\rm Total \; amount \; of \; fabric\; needed \; f = 2(w+ \dfrac{4}{3}\times w )+ 0.875.......(1) \\[/tex]

[tex]\rm Length \; of\; tablecloth = L = \dfrac{4}{3} \times w[/tex]

According to the given condition the fabric required for potholder = 0.875 feet

Quinn needs 113/8 feet of fabric for the border of the tablecloth and the potholder.

The Total amount of fabric needed for the border and the potholder = 113/8.....(2)

So from equation (1) and (2)  we get

[tex]\rm f = \dfrac{113}{8} \\[/tex]

[tex]\rm Total \; amount \; of \; fabric\; needed \; f = 2(w+ \dfrac{4}{3}\times w )+ 0.875=\dfrac{113}{8} \\[/tex]

Solving for w we can get

w = 2.839 inch

 

The width of Quinn's tablecloth is 2.839 inch

For more information please refer to the link below

https://brainly.com/question/6138677

 

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