A roll of gasket material is 18 in wide. What length is needed to obtain 20 sq ft of the material? (Careful: The numbers are not expressed in compatible units.)

Respuesta :

Given

A roll of gasket material is 18 in wide.

To find: What length is needed to obtain 20 sq ft of the​ material?

Explanation:

It is given that,

A roll of gasket material is 18 in wide.

Also, the area of the material is 20 sq ft.

Since

[tex]1\text{ }sq.ft=144in^2[/tex]

Then,

[tex]\begin{gathered} Area\text{ }of\text{ }the\text{ }gasket\text{ }material=20\text{ }sq.ft \\ =20\times144\text{ }in^2 \\ =2880\text{ }in^2 \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} Area=2880\text{ }in^2 \\ l\times w=2880 \\ l\times18=2880 \\ l=\frac{2880}{18} \\ l=160\text{ }in \end{gathered}[/tex]

Hence, the length of the gasket material is 160 in.

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