Question

Which iequailty model and solution set best represents the possible side lengths of miriam's bulletin board?

Answer 1

Question:

Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?​

Answer:

$x \le 18$

Step-by-step explanation:

Given

$Border\ Material = 72$

Required

Determine an inequality for x

Represent the side lengths of the border with y. So:

Since the border is on the 4 sides, then

$4y = 72$ -- i.e. the perimeter of the border material

Solve for y

$y =\frac{72}{4}$

$y =18$

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.

$x \le y$

Substitute $y =18$

$x \le 18$