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
24m
24m
8m
8m
32m
Let's let the width be represented by x.
According to the problem, the length is four meters less than twice the width. So, we can say that the length is 2x - 4.
The formula for the perimeter of a rectangle is P = 2L + 2W. Plugging in the given values, we get:
100 = 2(2x - 4) + 2x
Simplifying, we have:
100 = 4x - 8 + 2x
100 = 6x - 8
Adding 8 to both sides, we have:
108 = 6x
Dividing both sides by 6, we get:
x = 18
Therefore, the width of the rectangle is 18 meters.
To find the width of the rectangle, let's assume the width of the rectangle is "x" meters.
According to the given information, the length of the rectangle is four meters less than twice its width. So, the length would be 2x - 4 meters.
The perimeter of a rectangle can be calculated using the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Given that the perimeter of the rectangle is 100 meters, we can set up the following equation:
100 = 2(2x - 4 + x)
Simplifying the equation, we get:
100 = 2(3x - 4)
100 = 6x - 8
Adding 8 to both sides:
108 = 6x
Dividing both sides by 6:
18 = x
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 let "w" represent the width of the rectangle.
We know that the length of the rectangle is four meters less than twice its width. So, the length can be expressed as 2w - 4.
The perimeter of a rectangle is calculated by adding up all four sides. In this case, the perimeter is given as 100 meters. The formula for calculating the perimeter is: P = 2w + 2l, where P is the perimeter, w is the width, and l is the length.
So, we can set up the equation as follows:
100 = 2w + 2(2w - 4)
Now, let's solve this equation to find the value of w.
First, distribute the 2 to the terms inside the parentheses:
100 = 2w + 4w - 8
Combine like terms:
100 = 6w - 8
Next, isolate the variable w by moving the constant to the other side of the equation:
6w = 100 + 8
6w = 108
Finally, solve for w by dividing both sides of the equation by 6:
w = 108 / 6
w = 18
Therefore, the width of the rectangle is 18 meters.