The scale factor from the actual flag to Magnolia's scale drawing is 10/25 = 2/5.
Therefore, the height of the scale drawing is 15*2/5 = 6 inches.
The area of the actual flag is (1/2)*15*25 = 187.5 square inches.
The area of Magnolia's scale drawing is (1/2)*6*10 = 30 square inches.
To find the actual area from the scale drawing, we need to multiply the scale drawing area by the square of the scale factor: (2/5)^2 = 4/25.
So the actual area is 30*(4/25) = 24 square inches.
Therefore, the area of Magnolia's scale drawing is 30 square inches and the actual area is 24 square inches.
1 answer
This means that the scale drawing overestimates the actual area by 6 square inches.