Question
Olivia wants to trim the top of a lampshade with braid. The shape that she wants to trim is a rectangle. The length of the triangle is 4 cm longer than the width. If the perimeter of the rectangle is 84 cm, what is the width and the length?
Answers
GPT 3.5
Let's assume the width of the rectangle is x cm.
According to the problem, the length will be x+4 cm.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (width + length)
Plugging in the given information, we have:
84 = 2 * (x + x + 4)
84 = 2 * (2x + 4)
Dividing both sides by 2:
42 = 2x + 4
Subtracting 4 from both sides:
38 = 2x
Dividing both sides by 2:
x = 19
Thus, the width of the rectangle is 19 cm and the length is 19 + 4 = 23 cm.
According to the problem, the length will be x+4 cm.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (width + length)
Plugging in the given information, we have:
84 = 2 * (x + x + 4)
84 = 2 * (2x + 4)
Dividing both sides by 2:
42 = 2x + 4
Subtracting 4 from both sides:
38 = 2x
Dividing both sides by 2:
x = 19
Thus, the width of the rectangle is 19 cm and the length is 19 + 4 = 23 cm.