Final answer:
To find the dimensions of Jeff's garden, we can set up a mathematical equation based on the given information and solve it.
Step-by-step explanation:
The dimensions of Jeff's garden can be determined by setting up a mathematical equation based on the given information. Let's assume the length of the garden is L feet. Since the width of the garden should be 3 feet wider than the length, we can represent the width as (L + 3) feet. The area of the garden is given as 250 square feet, so we can write the equation:
L * (L + 3) = 250
To solve this equation, we can expand it and rearrange terms:
L^2 + 3L = 250
Next, let's subtract 250 from both sides:
L^2 + 3L - 250 = 0
Now, we can factor the quadratic equation or use the quadratic formula to solve for L. After finding the value of L, we can substitute it into the expression (L + 3) to find the width of the garden.