If the dimensions of a figure are doubled, then the area of the figure is___.
If the dimensions of a figure are doubled, then the area of the figure is quadrupled.
Answer:
Quadrupled
Step-by-step explanation:
Let us consider rectangle be a figure whose dimensions are \(a and b\).
Then, the area of the rectangle will be:
\(A=a{\times}b\)
\(A=ab square units\)
Now, If we double the dimensions of the rectangle that is \(2a and 2b\), then the area of the rectangle will become:
\(A=2a{\times}2b\)
\(A=4ab square units\)
Therefore, if we double the dimensions of the rectangle, the area becomes quadrupled.
Thus, If the dimensions of a figure are doubled, then the area of the figure is Quadrupled.