The length of a rectangle is four meters less than twice its width. If the perimeter of the rectangle is 100 meters, what is the width?
Responses
18m
18m
8m
8m
24m
24m
32m
Let's denote the width of the rectangle as x. According to the given information, the length of the rectangle is 2x - 4.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, it can be expressed as 2(width + length).
Therefore, we can create the following equation:
2(x + 2x - 4) = 100
Simplifying the equation:
2(3x - 4) = 100
6x - 8 = 100
6x = 108
x = 108/6
x = 18
Therefore, the width of the rectangle is 18 meters.
Let's represent the width of the rectangle as "w".
According to the given information, the length of the rectangle is four meters less than twice its width, so we can write the equation for the length as "2w - 4".
The formula for calculating the perimeter of a rectangle is P = 2L + 2W, where P represents the perimeter, L represents the length, and W represents the width.
We are given that the perimeter of the rectangle is 100 meters, so we can set up the equation:
100 = 2(2w - 4) + 2w.
Simplifying the equation:
100 = 4w - 8 + 2w.
Combining like terms:
100 = 6w - 8.
Adding 8 on both sides:
108 = 6w.
Dividing by 6:
w = 18.
Therefore, the width of the rectangle is 18 meters.
To find the width of the rectangle, we need to set up an equation using the given information.
Let's represent the width of the rectangle as 'w'. According to the problem, the length of the rectangle is four meters less than twice its width, which can be expressed as 2w - 4.
The perimeter of a rectangle is given by the formula: 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 100 meters. So we can write the equation as: 100 = 2((2w - 4) + w).
Simplifying the equation, we have: 100 = 2(3w - 4).
Expanding and further simplifying, we get: 100 = 6w - 8.
Adding 8 to both sides of the equation, we have: 108 = 6w.
Dividing both sides by 6, we get: w = 18.
Therefore, the width of the rectangle is 18 meters.