Vance wants to fence in a rectangular area for his dog. He wants the length of the rectangle to be at least 30 feet and the perimeter to be no more than 150 feet.

P = 2L + 2W

150 = 60 + 2W

90 = 2W

45 = W

0.9 kg➗ 150 = 0.006 in grams= 6

To solve this problem, we need to understand the relationship between the length, width, and perimeter of a rectangular area.

Let's assume the length of the rectangle is L and the width is W.

The perimeter (P) of a rectangle is given by the formula: P = 2L + 2W.

Now, let's solve the problem step by step:

Step 1: Determine the minimum length.
Vance wants the length of the rectangle to be at least 30 feet. So, L ≥ 30.

Step 2: Determine the maximum perimeter.
Vance wants the perimeter to be no more than 150 feet. So, we have the condition 2L + 2W ≤ 150.

Step 3: Simplify the perimeter inequality.
Dividing both sides of the inequality by 2 gives us L + W ≤ 75.

Step 4: Determine the width.
Since the length should be at least 30 feet, we can rewrite the inequality as W ≤ 75 - L.

Step 5: Calculate the maximum width.
To find the maximum width, substitute L = 30 into the inequality W ≤ 75 - L.
W ≤ 75 - 30
W ≤ 45

Therefore, the width can be at most 45 feet.

So, Vance should choose a length of at least 30 feet and a width of at most 45 feet to satisfy his requirements.