The area of the outdoor carpet that needed for the hole should be considered as the 48 ft².
Calculation of the area:
Since
we know that
Area of the rectangle = Length (breadth)
here,
L = 12 ft
b = 5 ft
So,
area = 12 × 5
= 60 ft²
Now
The cut off triangle area
area = 1/2 × base × height
= 1/2 × 4 × 3
= 12/2
= 6 ft²
Now
The cut off rectangle area should be
area = Lb
= 3 × 2
= 6 ft²
Now finally
The area of the outdoor carpet should be
= 60 - 6 - 6
= 48 ft²
learn more about an area here: https://brainly.com/question/17971267