The area of the given shape is 220.24 square units.
Step-by-step explanation:
Step 1;
Area of given shape = Area of the entire rectangle - Area of the rectangle - Area of the triangle.
The entire rectangle measures a length of 12 feet and a width of 5 feet. The area of any given rectangle is the multiplication of its length and width.
The area of the entire rectangle[tex]= (12)(5) =60[/tex] square feet.
Step 2:
A rectangle with length 2 feet and a width of 3 feet is cut out from the entire rectangle so it is subtracted from the entire rectangle's area.
The area of the small rectangle [tex]= (length)(width) = (2)(3)=6[/tex] square feet.
Step 3:
The area of a triangle = [tex]\frac{1}{2} (base length)(height).[/tex]
The base length of the triangle [tex]= 12-(6+2) =12-8 =4[/tex] feet and the height of the triangle is 3 feet.
The triangle's area = [tex]\frac{1}{2} (base length)(height) = \frac{1}{2} (4)(3)= 6[/tex] square feet.
Step 4:
Area of the given shape = [tex]60 - 6 - 6 = 48[/tex] square feet.
So 48 square feet of outdoor carpet will be needed.
