3 pieces
Step-by-step explanation:
Given: Figure
To find: Number of 8.5 in. Γ Β 11 in. pieces used to cover the floors Β of a room and a hallway in Β her dollhouse
Solution:
In the given figure, AC = 22 in.
AB + BC = 22 in.
AB + EF = 22 (As BC = EF being opposite sides of rectangle)
AB + 10 = 22
AB = 22 - 10 = 12 in.
Area of rectangle ABGH = AB Γ AH = 12 Γ 5 = 60 square inches
(area of rectangle = length Γ breadth )
CE = CD + DE = AH + GF (As CD = AH and DE = GF)
CE = 5 + 15 = 20 inches
Area of rectangle BCEF = BC Γ CE = 10 Γ 20 = 200 square inches
(BC = EF = 10 in.)
Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches
Area of pieces of felt = 8.5 Γ 11
So,
Number of pieces required = Total area of the figure / Area of pieces of felt Β = 3 pieces