Question
The area of a rectangle is 15x2+14x−8 . The length of the rectangle is 3x+4 . What is the width of the rectangle? (1 point) Responses 5x+12 5 x plus 12 12x−2 12 x minus 2 12x+12 12 x plus 12 5x−2
Answers
Answered by
GPT 3.5
To find the width of the rectangle, you need to divide the area of the rectangle by the length of the rectangle.
Area = 15x^2 + 14x - 8
Length = 3x + 4
Width = Area / Length
Width = (15x^2 + 14x - 8) / (3x + 4)
Using polynomial long division or synthetic division to divide the area by the length, we get:
Width = 5x - 2
Therefore, the width of the rectangle is 5x - 2.
Area = 15x^2 + 14x - 8
Length = 3x + 4
Width = Area / Length
Width = (15x^2 + 14x - 8) / (3x + 4)
Using polynomial long division or synthetic division to divide the area by the length, we get:
Width = 5x - 2
Therefore, the width of the rectangle is 5x - 2.