Question

Rectangle A has a length of 2x + 6 and a width of 3x. Rectangle B has a length of x + 2 and an area of 12 square units greater than Rectangle A's area. What is a simplified expression for the width of Rectangle B? x + 2 x + 1 6x + 6 6(x + 2)(x + 1)

Answer 1

Answer: So the final answer would be width is 6x + 6

Step-by-step explanation: The formula for Area is Length x width.

So A = (2x + 6)(3x) and the result is: 6x^2 + 18x

Now, let y be the width of rectangle B.

(x+2) (y) = 6x^2 + 18x + 12

(x+2) y = 6(x+1)(x+2)

y = 6(x+1)