Answer:
part a. A
part b. x + 6
part c. (4x – 1)(3x + 6)
Step-by-step explanation:
width + x + x = 3x + 6
width = 3x + 6 – x – x /answer for part a/
width = x + 6 /answer for part b/
Area = (length)(width) = (4x – 1)(3x +6) /part c/
Part A: A
Part B: x+6
Part C: 12x^2 + 21x - 6
Part A:
Width of the door
= (3x+6) -x -x
Part B:
= (3x+6)-x-x
Bringing like terms together,
= 3x-x-x+6
= 3x-2x+6
= (3x-2x)+6
= x+6
Part C:
Area of the rectangular room = Length*Width
= (4x-1)*(3x+6)
= 4x*3x - 1*3x + 6*4x - 6
= 12x^2 - 3x + 24x - 6
= 12x^2 + 21x - 6
3 ≤ x ≤ 4
Step 1: Add 10 to all parts/sections.
Step 2: Divide all parts/sections by 3.
Therefore, the answer is 3 ≤ x ≤ 4.