2 The units of the floor plan at the right are in feet. Find the
perimeter and area of each room.
a. the kitchen
Kitchen
Bedroom
b. the bedroom
c. the bathroom
20 ft
Main
hallway
d. the closet
Closet
Bathroom
e. What is the area of the main hallway? Explain how
you could find this area using the area of each room
20 ft

Step-by-step explanation:

a). Perimeter of the kitchen = total length of all sides

                                              = 4 + 2 + 2 + 6 + 6 + 12 + 10  (Since side of one smallest square = 2 feet)

                                              = 42 ft

   Area of the kitchen = Area of the composite figure

                                     = 4² + 2² + (6 × 12)

                                     = 16 + 4 + 72

                                     = 92 square feet

b). Perimeter of bedroom = 2(length + width)

                                          = 2(12 + 8)

                                          = 40 feet

    Area of the bedroom = Length × Width

                                         = 12 × 8

                                         = 96 square feet

c). Perimeter of the bathroom = 2(9 + 4) = 26 feet

   Area of the bathroom = 9 × 4 = 36 square feet

d). Perimeter of the closet = 2(6 + 8) = 28 feet

   Area of the closet = 6 × 8 = 48 square feet

e). Area of the hallway = Total area of the floor plan - area of the (kitchen + bathroom + bedroom + closet)

  Area of the floor plan = 20 × 20 = 400 square feet

  Area of the hallway = 400 - (92 + 96 + 36 + 48)

                                    = 400 - 272

                                    = 128 square feet

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