Question

the length, i, of a rectangle is greater than it's width, w. The perimeter of the rectangle is at least 30 inches. what inequality is the range of possible widths of the rectangle? i need help with this

Answer 1

Explanation:

Since the length, i, of the rectangle is greater than its width, we can write:

i > w

The formula for the perimeter of a rectangle is:

P = 2(i + w)

We know the perimeter is at least 30 inches, so we can write:

2(i + w) ≥ 30

Simplifying the inequality, we get:

i + w ≥ 15

Now we can substitute i > w into the inequality:

w + w ≥ 15

2w ≥ 15

w ≥ 7.5

Therefore, the range of possible widths for the rectangle is:

w ≥ 7.5