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.