38 square feet of outdoor carpet is needed for this hole.
Step-by-step explanation:
Step 1:
To calculate the area of the composite shape we first divide it into shapes that we know.
In this case, the composite shape consists of a rectangle and two triangles.
If we can calculate the individual areas of the three shapes we should be able to calculate the area of the composite shape.
Step 2:
The rectangle has a length of 8 feet and a width of 3 feet. The area of a rectangle is the product of its length and its width.
The area of the rectangle [tex]= (length)(width) = (8)(3)=24.[/tex]
The area of the rectangle is 24 square feet.
Step 3:
The area of a triangle [tex]= \frac{1}{2} (baselength)(height).[/tex]
The upper triangle has a base length of [tex]12-8 =4[/tex] feet and a height of 3 feet.
The area of the upper triangle[tex]= \frac{1}{2} (4)(3) = \frac{1}{2} (12) = 6.[/tex]
The area of the upper triangle is 6 square feet.
The lower triangle has a base length of [tex]12-8 =4[/tex] feet and a height of 4 feet.
The area of the lower triangle[tex]= \frac{1}{2} (4)(4) = \frac{1}{2} (16) = 8.[/tex]
The area of the lower triangle is 8 square feet.
Step 4:
Now we calculate the area of the entire figure by adding the areas of the rectangle and the two triangles
Area of the figure [tex]= 24 + 6 + 8 = 38.[/tex]
So 38 square feet of outdoor carpet is needed for this hole.
