The width of a rectangular plot is 2 feet longer than one-third the length. If the perimeter of the plot is 68 feet, find the length.
HELP!!!!
To find the length of the rectangular plot, we can set up an equation using the given information.
Let's assume that the length of the plot is represented by "L" in feet. According to the problem, the width is 2 feet longer than one-third the length. So, the width can be expressed as (1/3)L + 2.
The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the formula for the perimeter would be:
Perimeter = 2 * (length + width)
Given that the perimeter is 68 feet, we can now solve for the length.
Perimeter = 2 * (length + width)
68 = 2 * (L + (1/3)L + 2)
We can simplify the equation:
68 = 2 * (4/3)L + 4
68 = (8/3)L + 4
Next, let's isolate L by subtracting 4 from both sides:
68 - 4 = (8/3)L
64 = (8/3)L
To get rid of the fraction (8/3), we can multiply both sides of the equation by its reciprocal, which is 3/8:
64 * (3/8) = (8/3)L * (3/8)
24 = L
Therefore, the length of the rectangular plot is 24 feet.
The length is 10 and the width is 24
w=1/3L+2+2W+2L=68