which equation can be used to find the value of x? 168 = 18·x + 12·2x 168 = 18·12 + 2x·x 168 = 18·x + 12·3x…

Explanation:

Step1: Divide the shape into rectangles

The figure can be divided into two rectangles. One rectangle has dimensions (18) cm and (x) cm, and the other has dimensions (12) cm and (2x) cm.

Step2: Calculate the area of each rectangle

The area of the first rectangle (A_1 = 18\times x). The area of the second rectangle (A_2=12\times2x).

Step3: Set up the equation for the total area

The total area of the figure is given as (168) square - cm. So, the equation for the total area is (A = A_1+A_2), which is (168 = 18\cdot x+12\cdot2x).

Answer:

(168 = 18\cdot x+12\cdot2x)