Question

I need to write and simplify an algebraic expression for the perimeter of each shape.please help!

Answer 1

For the square, we have that each side's length is 2p, since the perimeter is the sum of the length of all sides of a geometric figure, this means that we have to add all the lengths of the square like this:

$\begin{gathered} P=2p+2p+2p+2p_{} \\ \Rightarrow P=8p \end{gathered}$

And we can do the same with the 3 sides of the triangle:

$\begin{gathered} P=2x+2x+3x+1 \\ \Rightarrow P=7x+1 \end{gathered}$