A triangular flag has a height of 15 inches and a base length of 25 inches. Magnolia makes a scale drawing of the flag in which the base length is 10 inches. What is the area of Magnolia’s scale drawing? Solve the problem by computing the actual area from the scale drawing. Show your work.(4 points)
can you make it easier and sound like a 7th grader typed it
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.