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 Magnolias scale drawing? Solve the problem by computing the actual area from the scale drawing. Show your work.

Answer 1

First, let's calculate the actual area of the triangular flag using the given measurements.

The formula for the area of a triangle is A = 1/2 * base * height.

A = 1/2 * 25 * 15
A = 1/2 * 375
A = 187.5 square inches

Now, let's calculate the scale factor for the base length.
Original base length = 25 inches
Scale drawing base length = 10 inches

Scale factor = Scale drawing base length / Original base length
Scale factor = 10 / 25
Scale factor = 0.4

Now, we need to apply the scale factor to the area of the actual flag to find the area of Magnolia's scale drawing.

Area of scale drawing = Scale factor^2 * Actual area
Area of scale drawing = 0.4^2 * 187.5
Area of scale drawing = 0.16 * 187.5
Area of scale drawing = 30 square inches

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