The length is 5ft less than twice the width and the perimeter is 80ft

Width = W ft.

Length = (2W - 5) Ft.
P = 2W + 2(2W - 5) = 80 Ft.
2W + 4W -10 = 80, 6W = 90, W = 15 Ft.
= Width, 2*15 - 5 = 25 = Length.

Let's solve this step-by-step.

Step 1: Assign variables
Let's assign the variable "w" to represent the width of the shape. Since the length is 5ft less than twice the width, we can assign "l" as the length.

Step 2: Translate the given information into equations
We know that the length is 5ft less than twice the width, so we can write an equation:
l = 2w - 5

We also know the formula for the perimeter of a rectangle is P = 2l + 2w. In this case, the perimeter is given as 80ft, so we can write another equation:
80 = 2l + 2w

Step 3: Solve for the variables
To solve the system of equations, we can substitute the value of l from the first equation into the second equation.
80 = 2(2w - 5) + 2w

Simplifying the equation:
80 = 4w - 10 + 2w
80 = 6w - 10

Move -10 to the right side:
80 + 10 = 6w
90 = 6w

Divide both sides by 6:
90/6 = w
15 = w

Step 4: Find the length
Now that we know the width is 15ft, we can substitute this value back into the first equation to solve for the length:
l = 2w - 5
l = 2(15) - 5
l = 30 - 5
l = 25ft

Step 5: Check the solution
To check if the solution is correct, we can substitute the values of both length and width back into the perimeter equation:
80 = 2l + 2w
80 = 2(25) + 2(15)
80 = 50 + 30
80 = 80

Since both sides are equal, the solution is correct.

Therefore, the width is 15ft and the length is 25ft.

To find the dimensions of the rectangle given the information provided, we can set up a system of equations.

Let's assume that the width of the rectangle is represented by "w" units. According to the problem, the length is 5 feet less than twice the width. Therefore, the length can be represented as "2w - 5" units.

The perimeter of a rectangle is given by the equation: P = 2*(length + width)

We are told that the perimeter is 80 feet. Substituting the given values into the formula, we get:

80 = 2*((2w - 5) + w)

Now, let's simplify the equation and solve for "w".

80 = 2*(3w - 5)

Dividing both sides by 2:

40 = 3w - 5

Adding 5 to both sides:

45 = 3w

Dividing both sides by 3:

w = 15

Therefore, the width of the rectangle is 15 feet.

To find the length, substitute the width value back into the expression for the length:

Length = 2w - 5
Length = 2*15 - 5
Length = 30 - 5
Length = 25

Therefore, the length of the rectangle is 25 feet.