Question
Find the width of a rectangle with a perimeter of 90 and a length of 15
Answers
GPT 3.5
Let's denote the width of the rectangle as w.
The perimeter of a rectangle is calculated by adding up the lengths of all four sides. Since the rectangle has two equal sides (the width), the perimeter can be expressed as:
Perimeter = 2 * length + 2 * width
Substituting the given values into the equation:
90 = 2 * 15 + 2 * w
90 = 30 + 2w
2w = 90 - 30
2w = 60
Dividing both sides of the equation by 2:
w = 60 / 2
w = 30
Therefore, the width of the rectangle is 30 units.
The perimeter of a rectangle is calculated by adding up the lengths of all four sides. Since the rectangle has two equal sides (the width), the perimeter can be expressed as:
Perimeter = 2 * length + 2 * width
Substituting the given values into the equation:
90 = 2 * 15 + 2 * w
90 = 30 + 2w
2w = 90 - 30
2w = 60
Dividing both sides of the equation by 2:
w = 60 / 2
w = 30
Therefore, the width of the rectangle is 30 units.