Question

A farmer wants to make arectangular paddock for his cows. he has 60m of fencing material to cover there side, with the other side being a brick wall. the farmer has objective to construct a paddock with an area of 450m² formulate a quadratic equation.

Answer 1

To formulate the quadratic equation, we set up equations for the perimeter and area of the rectangular paddock based on the given information. By solving these equations and substituting the values into the quadratic formula, we can find the dimensions of the paddock.

Step-by-step explanation:

To formulate a quadratic equation for the farmer's paddock, we need to first determine the dimensions of the rectangular paddock. Let's assume the length of the paddock is 'x' meters and the width is 'y' meters. Since the farmer has 60m of fencing material to cover three sides, we can set up the equation: 2x + y = 60. Additionally, we know that the area of the paddock should be 450m², so we can set up another equation: xy = 450. By rearranging and manipulating these equations, we can solve for 'x' and 'y', and then substitute those values into the formula for a quadratic equation.