Answer:
Area = 88 in.^2
Explanation:
Determine the scale of the drawing:
Since the floor's actual length is 33 ft and the scale drawing floor's length is 11 in., we can determine the scale of the entire painting by simplifying:
Rule = 33 ft / 11 in.
Rule = 3 ft / 1 in.
Thus, 3 ft in the real world represent 1 in. on the scale.
Determine the width of the floor's scale drawing:
Sine we now know that 3 ft real world represents 1 in. on the scale and we already know the floor's actual width (24 ft), we can determine the width of the floor on the scale in inches using a proportion:
3 ft / 1 in. = 24 ft / x in.
(3 = 24/x) * x
(3x = 24) / 3
x = 8
Thus, the floor's width on the scale is 8 in.
Find the area of the floor in the scale drawing:
The formula for the area of rectangle is given by:
A = lw, where
- A is the area in square units,
- l is the length,
- and w is the width.
Now we can substitute 11 for l and 8 for w to find the area of the drawing in the scale in square inches:
A = 11 * 8
A = 88
Thus, the area of the floor in the scale in square inches is 88 in.^2.