the length of a rectangle, given that its width is w feet and its length is 3 feet shorter than twice the length.
length=2w-3
Let W represent width and L represent length.
L = 2L - 3
-1L = -3
L = -3/-1
L = 3
The length is 3 feet.
To find the length of the rectangle, we can use the given information. Let's break down the problem step by step.
1. Given: Width of the rectangle = w feet.
2. Length of the rectangle = 3 feet shorter than twice the length.
Let's express this information as an equation.
Length = 2 * length - 3
Now, since we want to find the length, we can substitute the given formula into the equation:
Length = 2 * length - 3
Let's substitute the value of the length into this equation:
Length = 2 * (2 * length - 3) - 3
Simplifying further:
Length = 4 * length - 6 - 3
Length = 4 * length - 9
Now, we can isolate the length on one side of the equation by moving the term with length to the left side:
Length - 4 * length = -9
Simplifying:
-3 * length = -9
To solve for length, divide both sides of the equation by -3:
length = -9 / -3
length = 3
Therefore, the length of the rectangle is 3 feet.
To summarize, by substituting the given values into the equation and solving for the length, we determined that the length of the rectangle is 3 feet.