Answer:
C
Step-by-step explanation:
x=4 would be a vertical line
- The answer is A = x since the opposite sides of a rectangle are the same length.
- We'll have B = 9x+2 since this must add to x+4 to result in 10x+6. You could also do (10x+6) - (x+4) and you'll end up with 9x+2.
- On the far left side, (5x-3)+A = 5x-3+x = 6x-3. The far right side must add to this. So, x+C+x-2 = 6x-3 turns into C = 4x-1 after isolating C.
- Multiply out (5x-3) with (9x+2) to get the full area of 45x^2-17x-6. The steps are shown below
(5x-3)(9x+2)
5x(9x+2)-3(9x+2)
45x^2+10x-27x-6
45x^2-17x-6
You could also use the FOIL rule to get this answer. The box method is another alternative.
