Answer:
6 square feet of outdoor carpet will be needed for the given hole.
Step-by-step explanation:
We need to find how many square feet of outdoor carpet will be needed for the hole.
So, to find the required outdoor carpet we need to calculate the area of the hole.
Now, from the diagram, the hole is in the shape of a rectangle.
So, Area or rectangle = Length × width
Length = 3 feet and Width = 2 feet
⇒ Area = 3 × 2 = 6 feet²
Hence, 6 square feet of outdoor carpet will be needed for the given hole.
The area of the outdoor carpet given in the image is gotten as; 36 ft²
We can see the shape of the outdoor carpet is a triangle. However, a rectangular shape is cut out of it. Thus;
Area of outdoor carpet = (Area of triangle) - Area of rectangle
Area of triangle = ½ × base × height
Area of triangle = ½ × 7 × 12
Area of triangle = 42 ft²
Area of rectangle = 3 * 2
Area of rectangle = 6 ft²
Thus;
Area of outdoor carpet = 42 - 6
Area of outdoor carpet = 36 ft²
Read more about Area of a triangle at; https://brainly.com/question/17335144
