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Give that the perimeter of a parallelogramis 52 inches. Construct al mathematical model to find the length of the longer side of the parrallelogran if the shorter side measures 10 inches

Respuesta :

We know that the shorter side measures 10 inches, and the perimeter is 52 inches.

We have to use the perimeter formula

[tex]P=2(w+l)[/tex]

Where l = 10 inches, and P = 52 inches. Let's replace these values

[tex]52=2(w+10)[/tex]

Now, we solve for w

[tex]\begin{gathered} \frac{52}{2}=w+10 \\ 26=w+10 \\ w=26-10 \\ w=16 \end{gathered}[/tex]

Hence, the longer side measures 16 inches.

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