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

area of rectangle A = (2x+6)(3x) = 6x^2 + 18x

Reatangle B is 12 units larger so the area is 6x^2 + 18x + 12 = (x +2)(6x+6)

reactangle B has an area of (x +2)(6x+6)

with length (x+2) then the width is (6x + 6)

Answer 2

(2x+6)3x = 6x^2 + 18x
(x+2) (y) = 6x^2 + 18x + 12
(x+2) y = 6(x+1)(x+2)
y = 6(x+1)

Answer 3

@experimentX is the bottom one the answer?

Answer 4

i'm sorry i mean the second one

Answer 5

yes ... sorry I lost connection suddenly.

Answer 6

ok