John made a rectangle pen for his dog using 28 feet of fencing if the width of the pen is 2 feet more than 1/2 of the length what is the length of the pen
w = 2 + L/2)
so
2 w = L+4
2 w + 2 L = 28
L + 4 + 2 L = 28
3 L = 24
L = 8
To find the length of the pen, we need to set up an equation based on the given information.
Let's assume that the length of the pen is represented by "L" (in feet). According to the problem, the width of the pen is 2 feet more than half of the length. So, the width is represented by "(1/2)L + 2" (in feet).
Since a rectangle has two equal sides, we can calculate the total amount of fencing required by adding up the lengths of all four sides. In this case, the fencing required is 28 feet.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
Substituting the given values:
28 = 2 * (L + (1/2)L + 2)
Simplifying the equation:
28 = 2 * (3/2)L + 4
28 = 3L + 4
Now, let's solve for L:
28 - 4 = 3L
24 = 3L
Dividing both sides by 3:
24 / 3 = L
8 = L
Therefore, the length of the pen is 8 feet.