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, what is the length?
P = 2L + 2W
144 = 2(2W - 3) + 2W
144 = 4W - 6 + 2W
150 = 6W
25 = W
Let's assume the width of the rectangle is represented by "W" in feet.
According to the given information, the length of the rectangle is 3 feet less than twice the width. So, the length can be represented as 2W - 3.
To find the perimeter of a rectangle, we use the formula: Perimeter = 2(length + width).
Given that the perimeter is 144 feet, we can write the equation as:
144 = 2((2W - 3) + W).
Let's simplify the equation:
144 = 2(3W - 3).
72 = 3W - 3.
72 + 3 = 3W.
75 = 3W.
Now, we can solve for W by dividing both sides of the equation by 3:
W = 75 / 3.
W = 25.
Therefore, the width of the rectangle is 25 feet.
To find the length, we can substitute the width value back into the length expression:
Length = 2W - 3.
Length = 2(25) - 3.
Length = 50 - 3.
Length = 47.
So, the length of the rectangle is 47 feet.
To find the length of the rectangle, we need to set up an equation using the given information.
Let's assume the width of the rectangle is represented by 'w' (in feet).
According to the question, the length of the rectangle is 3 feet less than twice the width, so the length can be expressed as (2w - 3).
The formula for the perimeter of a rectangle is given by: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
In this case, the perimeter is given as 144 feet. Substituting the length and width equations into the perimeter formula, we get:
144 = 2((2w - 3) + w)
Now, let's solve the equation for 'w' to find the width:
144 = 2(3w - 3)
144 = 6w - 6
150 = 6w
w = 25
Therefore, the width of the rectangle is 25 feet.
To find the length, substitute the value of 'w' into the length equation:
Length = 2w - 3
Length = 2(25) - 3
Length = 50 - 3
Length = 47
Hence, the length of the rectangle is 47 feet.