3) A rectangular lawn measures 30 m by 40 m. Jason is cutting the lawn from the outside perimeter in towardthe center by cutting strips along the entire perimeter first, then continuing as he cuts toward the center. Howwide is the strip that has been cut along the outside when the area is half cut?

To solve this problem, we need to understand that the area of a rectangle is given by the formula length * width.

1. First, calculate the total area of the lawn. The lawn measures 30 m by 40 m, so the total area is 30 m * 40 m = 1200 square meters.

2. We know that Jason has cut half of the lawn, so the area of the lawn that has been cut is 1200 square meters / 2 = 600 square meters.

3. Now, we need to find the width of the strip that has been cut. We know that Jason is cutting the lawn from the outside perimeter in toward the center by cutting strips along the entire perimeter first. This means that the length and the width of the lawn are both decreasing as he cuts the lawn.

4. Let's denote the width of the strip that has been cut as x. This means that the length of the lawn after cutting the strip is 30 m - 2x and the width of the lawn after cutting the strip is 40 m - 2x.

5. The area of the lawn after cutting the strip is (30 m - 2x) * (40 m - 2x). Since we know that this area is 600 square meters, we can set up the equation (30 m - 2x) * (40 m - 2x) = 600 square meters.

6. Solve this equation for x. This is a quadratic equation, and solving it might require some algebraic manipulations. The solutions for x will give the width of the strip that has been cut.

Note: The quadratic equation is in the form of a quadratic trinomial (ax^2 + bx + c = 0). You can solve it by factoring, completing the square, or using the quadratic formula.