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The lenght of the rectangle is x² + 2x -3 and the width is 5x + 4, what is the perimeter of the rectangle?​

Sagot :

PERIMETER

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Solve:

[tex] \implies\sf \large P=2l+2w[/tex]

[tex] \implies\sf P=2( {x}^{2} + 2x - 3) +2(5x + 4)[/tex]

[tex] \implies\sf P=(2 {x}^{2} + 4x - 6) +(10x + 8)[/tex]

[tex] \: [/tex]

[tex] \LARGE \begin{align} \sf\pink{2 {x}^{2} } \blue{ + \: \: 4x} \red{ - 6} \\ \sf \underline{+ \: \: \: \: \: \: \: \: \: \: \: \blue{10x} \red{ + 8}} \\ \sf \pink{2 {x}^{2}} \blue{ + 14x} \red{ + 2} \end{align}[/tex]

Final Answer:

[tex] \sf \huge \orange{ P={2x}^{2} + 14x + 2}[/tex]

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