Question
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
Responses
18m
18m
8m
8m
24m
24m
32m
Answers
GPT 3.5
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.
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.