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. (4 points)
First, we need to find the scale factor by comparing the base lengths of the actual flag and the scale drawing:
Scale factor = 10 inches (scale drawing base length) / 25 inches (actual base length) = 2/5
Next, we need to find the height of the scale drawing using the scale factor:
Height of scale drawing = 15 inches (actual height) * (2/5) = 6 inches
Now, we can calculate the area of the scale drawing:
Area of scale drawing = 1/2 * base length * height
Area of scale drawing = 1/2 * 10 inches * 6 inches
Area of scale drawing = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 square inches.