Question

The perimeter of the rectangle below is 130 units. Find the length of side PS.Write your answer without variables.

Answer 1

we have the following:

$\begin{gathered} P=2\cdot w+2\cdot l \\ 130=2\cdot(4y)+2\cdot(5y+2) \\ 130=8y+10y+4 \\ 18y=126 \\ y=\frac{126}{18} \\ y=7 \end{gathered}$

therefore,

$PS=5y+2=5\cdot7+2=37$

The answer is 37