Answer:
\(Area=63 square foot\)
Step-by-step explanation:
The dimensions of the outdoor carpet which is rectangle in shape are:
L=6 ft and w=12 ft.
The dimensions of the indoor carpet that is triangle in shape are:
b=3 ft and h=9 ft.
Now, area of the outdoor= Area of the green region-Area of triangular region
\(Area=l{\times}b-\frac{1}{2}{\times}b{\times}h\)
\(Area=6(12)-\frac{1}{2}{\times}3{\times}6\)
\(Area=72-9\)
\(Area=63 square foot\)
Thus, the area of the outdoor carpet is 63 square foot.
