Answer
225 ft² of carpetting is needed to cover the entire area shown.
Step-by-step explanation
The figure above shows a combination of a rectangle and two triangles on top
Area of a rectangle = L × W
For the rectangle in the question,
L = Length of the rectangle = 20 ft.
W = Width of the rectangle = 10 ft.
Area of the rectangle = L × W = 20 × 10 = 200 ft²
Area of a triangle = ½ × B × H
For each of the triangles in the question,
B = Base of the triangle = 5 ft.
H = Perpendicular height of the triangle = 5 ft.
Area of one of the triangle = ½ × B × H = ½ × 5 × 5 = 12.5 ft²
Area of the two triangles = 2 (Area of one of the triangles)
= 2 (12.5)
= 25 ft²
Area of the whole floor plan for the carpet
= (Area of the rectangular region) + (Area of the two triangular regions)
= 200 + 25
= 225 ft²
Hope this Helps!!!