Respuesta :

Explanation

Given that the perimeter of a rectangular painting is 304 centimeters and the width of the painting is 54 centimeters. We can find the length using the formula below.

[tex]\begin{gathered} p=2(l+w) \\ \end{gathered}[/tex]

Therefore;

[tex]\begin{gathered} 304=2\left(l+54\right) \\ \mathrm{Divide\:both\:sides\:by\:}2 \\ \frac{2\left(l+54\right)}{2}=\frac{304}{2} \\ l+54=152 \\ \mathrm{Subtract\:}54\mathrm{\:from\:both\:sides} \\ l+54-54=152-54 \\ \mathrm{Simplify} \\ l=98 \end{gathered}[/tex]

Answer: 98 centimeters