Answer:
48 ft² of the outdoor carpet will be needed.
Explanation:
In the given question we have a carpet in rectangle shape having measures of 12 ft long and width of 5 ft.
Therefore the area of the carpet is = 12×5 = 60 ft²
Now a triangle and a rectangle have been cut off and we have to calculate the area of remaining carpet.
Therefore area of the triangle = (1/2)×Base×height = (1/2)×3×[12-(6+2)]
= (1/2)×3×4 = 6 ft²
Now the area of rectangle which was removed from the carpet = length × width = 3×2 = 6 ft²
Now the remaining area of the big carpet without the small rectangle and triangle = 60 - (6 + 6) = 60 - 12 = 48 ft²
Therefore we will require 48 ft² outdoor carpet.