Martina has 120 meters of fencing and wishes to form three sides of a rectangular field. The fourth side borders a river and will not need fencing.As shown below, one of the sides has length $x$ (in meters). Find a function that gives the area
Ax of the field (in square meters) in terms of $x$.
Answer
Final Answer: The function that gives the area of the field in terms of \(x\) is \(\boxed{A(x) = x * (120 - 2x)}\).
Step 1 ：The problem is asking for a function that gives the area of the field in terms of x. The area of a rectangle is given by the formula length * width. In this case, the length is x and the width is the remaining fencing after subtracting the length of x from the total fencing of 120 meters. Since there are two sides of the rectangle that are the same length (x), the width would be 120 - 2x.
Step 2 ：Therefore, the area function would be \(A(x) = x * (120 - 2x)\).
Step 3 ：Final Answer: The function that gives the area of the field in terms of \(x\) is \(\boxed{A(x) = x * (120 - 2x)}\).
