A farmer has 100metres of fencing from which to build a rectangular chicken run. He intends to use two adjancent walls for two sides of the rectangular enclosure. Determine a formular for the enclosed area in terms of X?
I don't know about the "formular," but the other two sides could be 50m each, with the area = 50^2.
To determine the formula for the enclosed area in terms of X, we first need to understand the given information.
The farmer has 100 meters of fencing, which will be used to make two adjacent walls of the rectangular enclosure. Let's assume that one wall, which forms the length of the enclosure, has a length of X meters. The other wall, forming the width of the enclosure, also has a length of X meters.
Now, let's break down the perimeter of the rectangular enclosure and see how the lengths of the walls are connected:
1. The length of the first wall (X meters) will be used as one side of the enclosure.
2. The length of the second wall (X meters) will be used as the adjacent side of the enclosure.
3. To complete the enclosure, we need two more sides with a total length equal to the remaining fencing (100 - 2X meters).
Considering that a rectangle has two pairs of equal sides, we can represent the total perimeter of the rectangular enclosure as:
2X + 2(100 - 2X)
Now, to calculate the area of a rectangle, we multiply the length (X meters) by the width (100 - 2X meters). So, the area formula will be:
Area = X * (100 - 2X)
Hence, the formula for the enclosed area in terms of X is "Area = X * (100 - 2X)."