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)
To find the area of Magnolia's scale drawing, we first need to find the scale factor between the actual flag and the scale drawing.
The scale factor is calculated by dividing the actual base length by the scale base length:
Scale factor = Actual base length / Scale base length = 25 / 10 = 2.5
Next, we need to find the height of the scale drawing by multiplying the actual height by the scale factor:
Scale height = Actual height * Scale factor = 15 * 2.5 = 37.5 inches
Now, we can calculate the area of Magnolia's scale drawing:
Scale area = 1/2 * base length * height = 1/2 * 10 * 37.5 = 187.5 square inches
Therefore, the area of Magnolia's scale drawing is 187.5 square inches.