The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 144 feet, find the width and the length

L = 2W -3

2L + 2W = 144

Substitute 2W-3 for L and solve for W, then L.

Let's start by assigning variables to the width and length of the rectangle. Let's say the width is "w" feet and the length is "l" feet.

According to the given information, the length of the rectangle is 3 feet less than twice the width. This can be expressed as:

l = 2w - 3 ...(Equation 1)

The perimeter of a rectangle is given by the formula: perimeter = 2(length + width).

Given that the perimeter of the rectangle is 144 feet, we can write the equation as:

2(l + w) = 144 ...(Equation 2)

Now, let's substitute Equation 1 into Equation 2:

2((2w - 3) + w) = 144

Simplifying the equation:

2(3w - 3) = 144
6w - 6 = 144
6w = 150
w = 150/6
w = 25

So, the width of the rectangle is 25 feet.

Now, substitute the value of w back into Equation 1 to find the length:

l = 2w - 3
l = 2(25) - 3
l = 50 - 3
l = 47

Therefore, the length of the rectangle is 47 feet and the width is 25 feet.

To find the width and length of the rectangle, let's set up an equation based on the given information.

Let's assume that the width of the rectangle is represented by 'w' feet.
According to the problem, the length of the rectangle is 3 feet less than twice the width, which can be written as: length = 2w - 3 feet.

To find the perimeter of a rectangle, we use the formula: Perimeter = 2(length + width).

Given that the perimeter of the rectangle is 144 feet, we can now write the equation:

144 = 2(2w - 3 + w)

Now, let's solve the equation to find the value of 'w' (width).

First, distribute the 2:

144 = 2(3w - 3)
144 = 6w - 6

Next, combine like terms:

144 + 6 = 6w
150 = 6w

To isolate 'w', divide both sides of the equation by 6:

150/6 = w
25 = w

So, the width of the rectangle is 25 feet.

Now, let's find the length by substituting the value of 'w' back into the equation for the length:

length = 2w - 3
length = 2(25) - 3
length = 50 - 3
length = 47

Therefore, the width of the rectangle is 25 feet, and the length is 47 feet.