Question

Finding the side length of a rectangle given its perimeter or areaThe perimeter of a rectangular painting is 354 centimeters. If the width of the painting is 81 centimeters, what is its length?centimeters?

Answer 1

The perimeter of a reactangle is calculated using the formula

`P=2(L+W)`

Where

P = perimeter

L = length

W = width

Given:

Substitute these values into the formula

`354=2(L+81)`

Divide both sides by 2

`\begin{gathered} (354)/(2)=(2(L+81))/(2) \\ 177=L+81 \end{gathered}`

Substract 81 from both sides

`\begin{gathered} 117-81=L+81-81 \\ L=96 \end{gathered}`

Therefore, the length of the rectangle is 96 centimeters