Question

The perimeter of a rectangular painting is 304 centimeters. If the width of the painting is 54 centimeters, what is its length?

Answer 1

Step-by-step 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.

`\begin{gathered} p=2(l+w) \\ \end{gathered}`

Therefore;

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

Answer: 98 centimeters