Answer:
Area of two rooms is 357 square feet
Length of the baseboards = 89.5 ft
Step-by-step explanation:
Area and perimeter of rectangular room:
Area of the room = length * width
Area of the two rooms = area of bigger room + area of smaller room
= 19 * 15 + 8 * 9
= 285 + 72
= 357 square feet
To find the length of the baseboard, we need to subtract the width of the opening (5 feet) and width of the entry (2 1/2 feet) from the perimeter of the bigger room and subtract the width of the opening (5 feet) from the perimeter of the smaller room.
Bigger room:
length = 19 ft
Width = 15 ft
Width of the entry = 2 1/2 ft = 2.5 ft
Width of the opening between two rooms = 5 ft
Perimeter of bigger room = 2l + 2w - 5 - 2.5
= 2*19 + 2*15 - 7.5
= 38 + 30 - 7.5
= 60.5 ft
Smaller room:
length = 8ft
Width = 9 ft
Width of the opening = 5 ft
Perimeter of the smaller room = 2*8 + 2*9 - 5
= 16 + 18 - 5
= 29 ft
Length of the base board = 60.5 + 29
= 89.5 ft
