(Originais Teachy 2024) - Question Easy of Mathematics

A rectangular plot of land with a perimeter of 150 meters must be fenced with a material that costs R$ 10 per meter. To save money, the owner decided to use one side of the land as part of the fence and only fence the other three sides. Considering that the width of the land is 'x' meters, determine the cost function 'C(x)' that represents the cost of fencing the land as a function of the width. After determining the function, solve the equation C(x) = 1500 to find the width 'x' that minimizes the cost of fencing the land. Consider that the price of the material is the only cost involved and that the fence is installed without waste of material.