Question

1. geometry find the value of x so the rectangles have the same area.

Explanation:

Step1: Write area formulas

The area of the first rectangle $A_1 = 12x$, and the area of the second rectangle $A_2=16(x - 2)$.

Step2: Set areas equal

Since the areas are the same, we have the equation $12x=16(x - 2)$.

Step3: Expand the right - hand side

$12x = 16x-32$.

Step4: Move terms with $x$ to one side

$16x-12x = 32$.

Step5: Simplify and solve for $x$

$4x=32$, so $x = 8$.

Answer:

$8$