The area labeled B is four times the area labeled A. Express b in terms of a.b =

1. Break Down the Problem

We need to express the area labeled $B$ in terms of the area labeled $A$. According to the given information, the area labeled $B$ is four times that of area $A$.

2. Relevant Concepts

The relationship can be expressed mathematically. If we denote the area of $A$ as $a$, then the area of $B$ can be defined as: $B = 4A$

3. Analysis and Detail

Given the expression $B = 4A$, we replace $A$ with $a$: $B = 4a$ This means that for every unit of area $A$, area $B$ is four times that unit.

4. Verify and Summarize

We have confirmed that the relationship holds true. When we substitute $A$ with $a$, it is apparent that $B$ indeed equals four times $a$.

Final Answer

The expression for $b$ in terms of $a$ is: $b = 4a$