Question

solve.

1. write an expression for the missing dimension of the shaded figure. then write a multiplication expression for the area of the shaded figure. expand and simplify your multiplication expression.

(figure: a rectangle with height 12 cm, divided into two parts: one with width 2 cm, another with width (x - 3) cm, and the total width is ?)

Explanation:

Step1: Find missing dimension

The total length is the sum of 2 cm and $(x - 3)$ cm: $2 + (x - 3) = x - 1$.

Step2: Write area expression

Area of rectangle = length × width: $12(x - 1)$.

Step3: Expand and simplify

Distribute 12: $12x - 12$.

Answer:

Missing dimension: $x - 1$ cm; Area expression: $12(x - 1)$; Simplified area: $12x - 12$ cm²