Question

Gabrielle wants to use felt

material to cover the floors
of a room and a hallway in
her dollhouse. She
measured the room and
hallway and sketched it
below. How many 8.5 in. X
11 in. pieces of felt does
Gabrielle need for the room
and hallway? Solve this
problem any way you
choose.

Answer 1

3 pieces

Explanation:

Given: Figure

To find: Number of 8.5 in. × 11 in. pieces used to cover the floors of a room and a hallway in 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 × AH = 12 × 5 = 60 square inches

(area of rectangle = length × breadth )

CE = CD + DE = AH + GF (As CD = AH and DE = GF)

CE = 5 + 15 = 20 inches

Area of rectangle BCEF = BC × CE = 10 × 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 × 11

So,

Number of pieces required = Total area of the figure / Area of pieces of felt =
`(260)/(8.5(11)) =2.78`
`\approx` 3 pieces