Answer :

Given:

[tex]L=2\dfrac{1}{2}[/tex] ft and [tex]W=3\dfrac{2}{5}[/tex] ft.

[tex]P=2L+2W[/tex]

To find:

The value of P.

Solution:

We have,

[tex]P=2L+2W[/tex]

Substituting [tex]L=2\dfrac{1}{2}[/tex] and [tex]W=3\dfrac{2}{5}[/tex], we get

[tex]P=2\times 2\dfrac{1}{2}+2\times 3\dfrac{2}{5}[/tex]

[tex]P=2\times \dfrac{2(2)+1}{2}+2\times \dfrac{3(5)+2}{5}[/tex]

[tex]P=2\times \dfrac{5}{2}+2\times \dfrac{17}{5}[/tex]

[tex]P=5+\dfrac{34}{5}[/tex]

Taking LCM, we get

[tex]P=\dfrac{5(5)+34}{5}[/tex]

[tex]P=\dfrac{25+34}{5}[/tex]

[tex]P=\dfrac{59}{5}[/tex]

[tex]P=11\dfrac{4}{5}[/tex]

Therefore, the value of P is [tex]11\dfrac{4}{5}[/tex] ft.

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