A triangle 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 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.
First, we need to find the scale factor of the drawing:
Scale factor = Actual length / Scale length
Scale factor = 25 inches / 10 inches
Scale factor = 2.5
Next, we need to find the height of the scale drawing:
Scale height = Actual height / Scale factor
Scale height = 15 inches / 2.5
Scale height = 6 inches
Now, we can find the area of the scale drawing:
Scale area = (1/2) * base * height
Scale area = (1/2) * 10 inches * 6 inches
Scale area = 30 square inches
Therefore, the area of Magnolia's scale drawing of the flag is 30 square inches.