As an upholsterer, you need to determine how much fabric is needed to make seat cover. You are covering a piece of wood that is 10 inches x 10 inches x 2 1/4 inches. You need a least 5/8 inch of extra fabric on all sides. What are the minimum dimensions needed for the piece of fabric that will be used to cover the top (10 inches x 10 inches) part of the wood?

As an upholsterer you need to determine how much fabric is needed to make seat cover You are covering a piece of wood that is 10 inches x 10 inches x 2 14 inche class=

Respuesta :

Given:

The dimension of the wood is

[tex]10\text{ inches }\times\text{ 10 inches }\times\text{ 2}\frac{1}{4}\text{ inches}[/tex]

The amount of extra fabric needed on all sides: 5/8 inches

The diagram below shows the fabric with the extra fabric:

The minimum amount of fabric is the sum of the initial dimension plus the extra length

[tex]\begin{gathered} \text{length = 10 + }\frac{5}{8}\text{ + }\frac{5}{8} \\ =\text{ 11.25 or 11}\frac{1}{4}\text{ inches} \end{gathered}[/tex]

Hence, the minimum dimensions of the fabric are:

[tex]=\text{ 11}\frac{1}{4}\text{ inches }\times\text{ 11}\frac{1}{4}\text{ inches}[/tex]

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