How many square feet of outdoor carpet will we need for this hole

Answer:
You'll need [tex]36\ ft^{2}[/tex] of outdoor carpet for this hole
Step-by-step explanation:
we know that
The area of the outdoor carpet is equal to the area of the triangle minus the area of the rectangle
step 1
Find the area of the rectangle
The area of rectangle is equal to
[tex]A=bh[/tex]
we have
[tex]b=3\ ft[/tex]
[tex]h=2\ ft[/tex]
Calculate the area
[tex]A=(3)(2)=6\ ft^{2}[/tex]
step 2
Find the area of the triangle
[tex]A=(1/2)bh[/tex]
we have
[tex]b=12\ ft[/tex]
[tex]h=7\ ft[/tex]
Calculate the area
[tex]A=(1/2)(12)(7)=42\ ft^{2}[/tex]
step 3
Find the difference
[tex]42\ ft^{2}-6\ ft^{2}=36\ ft^{2}[/tex]