Answer:
36 square feet outdoor carpet will be required for this hole.
Step-by-step explanation:
A triangle colored in green with a rectangular hole has been given in the figure.
Area of the outdoor carpet will be calculated by the expression,
Area of the carpet = Area of the right triangle - Area of the rectangle removed from the triangle
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}\times (12)\times (7)[/tex]
= 42 square ft
Area of the rectangle = Length × Width
= 3×2
= 6 square ft
Area of the remaining area to be covered with the carpet = 42 - 6
= 36 square feet
Therefore, area of the outdoor carpet required for the hole = 36 feet²
