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b. How many square meters does an 80. ft2 rug occupy? (1 ft = 12 in.)

Sagot :

b.

First squared the following conversion factor: 1 ft = 12 in, as follow:

[tex]\begin{gathered} 1ft=12in \\ (1ft)^2=(12in)^2 \\ 1ft=144in^2 \end{gathered}[/tex]

Then, use the previous result as a conversion factor to convert 80.0ft^2, as follow:

[tex]80.0ft^2\cdot\frac{144in^2}{1ft^2}=11520in^2[/tex]

Now, consider that 1 m = 39.3701 in, then, if you squared you obtain:

[tex]\begin{gathered} 1m=39.3701in \\ (1m)^2=(39.37in)^2 \\ 1m^2=1550.004774in^2 \end{gathered}[/tex]

use the previous result as a conversion factor:

[tex]11520in^2\cdot\frac{1m^2}{1550.004774in^2}\approx7.43m^2[/tex]

Hence, 80.0ft^2 is approximately 7.43 m^2

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