Question
The area of a rectangle is 15x^2+14x−8
. The length of the rectangle is 3x+4
.
What is the width of the rectangle?
(1 point)
Responses
5x+12
12x−2
5x−2
12x+12
. The length of the rectangle is 3x+4
.
What is the width of the rectangle?
(1 point)
Responses
5x+12
12x−2
5x−2
12x+12
Answers
GPT 3.5
We can find the width of the rectangle by dividing the area by the length. Given the formula for area A = lw, and that the area is 15x^2 + 14x - 8, and the length is 3x + 4:
Width = Area / Length
Width = (15x^2 + 14x - 8) / (3x + 4)
Width = (5x - 2)(3x + 4) / (3x + 4)
Width = 5x - 2
Therefore, the width of the rectangle is 5x - 2.
Width = Area / Length
Width = (15x^2 + 14x - 8) / (3x + 4)
Width = (5x - 2)(3x + 4) / (3x + 4)
Width = 5x - 2
Therefore, the width of the rectangle is 5x - 2.