A park planner has sketched a rectangular park in the first quadrant of a coordinate grid. Two sides of the park lie on the x- and y-axes. A trapezoidal flower bed will be bounded by the line , the x-axis, and the vertical lines and , where . The area A of the trapezoid is modeled by . Assume that lengths along the axes are measured in meters. For what value of a will the trapezoid have an area of 25 square meters? Use the Quadratic Formula to find the answer. (4 points)

Question

A park planner has sketched a rectangular park in the first quadrant of a coordinate grid. Two sides of the park lie on the x- and y-axes. A trapezoidal flower bed will be bounded by the line , the x-axis, and the vertical lines  and , where . The area A of the trapezoid is modeled by . Assume that lengths along the axes are measured in meters. For what value of a will the trapezoid have an area of 25 square meters? Use the Quadratic Formula to find the answer.  (4 points)