Final answer:
To find the maximum possible area of the bell pepper patch, set up an equation using the formula for area and solve for the width of the patch. The maximum possible area of the bell pepper patch is 8 feet, square feet when the length of the tomato patch is 12 feet.
Step-by-step explanation:
To find the maximum possible area of the bell pepper patch when the length of the tomato patch is given, we first need to understand the relationship between the length and area of the bell pepper patch. The area of a rectangle is determined by multiplying its length by its width (A = l × w). In this case, the length of the tomato patch is given as 8 feet, and the area of the bell pepper patch is given as 12 square feet. Let's assume the width of the bell pepper patch is w.
We can set up an equation using the formula for area: 12 = 8w. To find the maximum possible area, we need to find the greatest value of w that satisfies this equation. Dividing both sides of the equation by 8, we get w = 1.5. So, when the length of the tomato patch is 8 feet, the maximum possible area of the bell pepper patch is 12 square feet.
Learn more about Area of a rectangle