Mariko has an 80:1 scale-drawing of the floor plan of her house. On the floor plan, the dimensions of her rectangular living room are 2 inches by 4 inches.
What is the area of her real living room in square feet?
To find the area of the living room in square feet, we need to first find the dimensions of the real living room.
Since the scale of the drawing is 80:1, we can multiply the dimensions on the drawing by 80 to find the real dimensions:
Length = 2 inches * 80 = 160 inches
Width = 4 inches * 80 = 320 inches
To convert the dimensions from inches to feet, we divide by 12:
Length = 160 inches / 12 = 13.33 feet
Width = 320 inches / 12 = 26.67 feet
Now, we calculate the area of the living room:
Area = Length * Width
Area = 13.33 feet * 26.67 feet
Area = 355.59 square feet
Therefore, the area of Mariko's real living room is 355.59 square feet.
(2 in by 4 in) ---> 2*80 * 4*80
= 8 * 6400 in^2 then convert * 1 ft^2 /144 in^2 = 8*6400/144 ft^2 = 355.6 ft^2