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)
First, we need to calculate the scale factor used in Magnolia's drawing.
Original height = 15 inches
Original base length = 25 inches
Scale height = 10 inches
Scale base length = 10 inches
Scale factor = Scale base length / Original base length
Scale factor = 10 / 25
Scale factor = 0.4
Now, we can calculate the area of Magnolia's scale drawing using the scale factor.
Original area = 1/2 * base * height
Original area = 1/2 * 25 * 15
Original area = 187.5 square inches
Scale area = (Scale factor)² * Original area
Scale area = 0.4² * 187.5
Scale area = 0.16 * 187.5
Scale area = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 square inches.