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? am looking for the length, not the width. Thanks I know the width is 25
To find the length of the rectangle, we can use the given information that the length is 3 feet less than twice the width.
Let's assume the width of the rectangle is "w" feet. According to the given information, the length would be (2w - 3) feet.
The perimeter of a rectangle is the sum of all its sides. For a rectangle, the perimeter is given by the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Given that the perimeter is 144 feet, we can replace the values in the formula and solve for the length:
144 = 2(2w - 3 + w)
First, simplify the equation:
144 = 2(3w - 3)
Now expand:
144 = 6w - 6
Next, isolate the variable by adding 6 to both sides:
144 + 6 = 6w
150 = 6w
Finally, solve for w by dividing both sides of the equation by 6:
w = 150 / 6
w = 25
We already know that the width is 25 feet, so substitute the value back into the equation for the length:
l = 2w - 3
l = 2(25) - 3
l = 50 - 3
l = 47
Therefore, the length of the rectangle is 47 feet.