How many times larger is the area of the enlarged rectangle compared to the area of the original rectangle

To find out how many times larger the area of the enlarged rectangle is compared to the original rectangle, we can follow these steps:

1. Calculate the area of the original rectangle:

– Let the original width be ( w ) and the original length be ( l ).

– The area ( A_{original} = w times l ).

2. Dimensions of the enlarged rectangle:

– The width is doubled: new width = ( 2w ).

– The length is tripled: new length = ( 3l ).

3. Calculate the area of the enlarged rectangle:

– The area ( A_{enlarged} = (2w) times (3l) = 6wl ).

4. Compare the two areas:

– To find how many times larger the area of the enlarged rectangle is compared to the original rectangle:

[

text{Ratio} = frac{A_{enlarged}}{A_{original}} = frac{6wl}{wl} = 6.
]

Thus, the area of the enlarged rectangle is 6 times larger than the area of the original rectangle.

The answer is A. 6.