If the rectangle has one side of x meters, the other side will be 4 - x meters long. This is because the total perimeter of the rectangle, made with 8 meters of wire, is 8 = 2x + 2(4 - x), which simplifies to y = 4 - x.
The given statement indicates that there is an 8-meter wire available to construct a rectangle, and one of the sides of this rectangle is defined as x meters. To determine the perimeter of the rectangle, we need to consider that a rectangle has two pairs of equal-length sides. In this case, the side with a length of x meters is opposite another side of the same length, and the remaining two sides are formed by the 8-meter wire, each contributing to the length of the rectangle.
The perimeter (P) of a rectangle is calculated by adding the lengths of all four sides. Since we know one side is x meters and the other three sides are formed by the 8-meter wire, the perimeter can be expressed as:
![\[ P = x + 8 + 8 + x \]](https://img.qammunity.org/2024/formulas/mathematics/college/a756nbv670dr625ec1231yk11h0fwwty4w.png)
Simplifying the expression, we get:
![\[ P = 2x + 16 \]](https://img.qammunity.org/2024/formulas/mathematics/college/nuv4bmgmd13vqloy9v25ba9ttckkbal7oh.png)
Therefore, the perimeter of the rectangle formed using the 8-meter wire, with one side measuring x meters, is
meters. This formula allows us to calculate the perimeter based on the given information about the wire and the specified length of one side.
The probable question maybe:
Given that the total length of the wire is 8 meters and one side of the rectangle is x meters, what is the length of the other side of the rectangle?