Respuesta :
Answer:
[tex]Area=216\ ft^2[/tex]
Step-by-step explanation:
-Given that the dimensions of the new deck are double the dimensions of the old deck:
[tex]New \ Length=2(Old \ Length)=2\times 9=18\ ft\\\\New \ Width=2(Old \ Width)=2\times 6=12\ ft[/tex]
#The area of the new deck can now be calculated as:
[tex]Area=Length\times Width\\\\=18\times 12\\\\=216\ ft^2[/tex]
Hence, the area of the new deck is [tex]216\ ft^2[/tex]
Applying the area of a rectangle, it is found that the area of the new rectangular deck is of 216 square feet.
The area of a rectangle of width w and length l is given by the multiplication of these two measures, that is:
[tex]A = lw[/tex]
In this problem, the dimensions are:
- Width of 18 feet, hence [tex]w = 18[/tex].
- Length of 12 feet, hence [tex]l = 12[/tex].
Then:
[tex]A = lw = 12(18) = 216[/tex]
The area of the new rectangular deck is of 216 square feet.
To learn more about a rectangle's area, you can take a look at https://brainly.com/question/14099239