Question

The side of a square is represented by (s - 4);1. Write an expression that could represent the perimeter of the square.2. If the perimeter of the square is no more than 80 ft, what is the maximum value of s?

Answer 1

We have a square with sides (s-4).

The perimeter of a square is 4 times the length of the side, so we can write:

`P=4\cdot(s-4)=4s-16`

If P is no more than 80 ft, we can find the maximum value for s as:

`\begin{gathered} P<80 \\ 4s-16<80 \\ 4s<80+16 \\ 4s<96 \\ s<(96)/(4) \\ s<24 \end{gathered}`

Answer:

1) The perimeter is P = 4s-16

2) The maximum value for s, if the perimeter is no more than 80 ft, is 24 ft.