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.

1 answer

First, we need to find the scale factor used in the drawing:
Given base length of actual flag = 25 inches
Base length of scale drawing = 10 inches

Scale factor = 10/25 = 2/5

Now, we need to calculate the height of the scale drawing:
Height of actual flag = 15 inches
Height of scale drawing = (2/5) * 15 = 6 inches

Now, we can calculate the area of the scale drawing:
Area = 1/2 * base * height
Area = 1/2 * 10 * 6
Area = 30 square inches

Therefore, the area of Magnolia's scale drawing of the flag is 30 square inches.