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) plz

1 answer

To find the area of the scale drawing, we must first determine the scale factor by comparing the actual base length to the scale base length.

Actual base length = 25 inches
Scale base length = 10 inches

Scale factor = Scale base length / Actual base length
Scale factor = 10 / 25
Scale factor = 0.4

Next, we need to determine the scaled height of the flag by multiplying the actual height by the scale factor.

Scaled height = Actual height * Scale factor
Scaled height = 15 * 0.4
Scaled height = 6 inches

Now that we have the scaled height and base length, we can calculate the area of the scale drawing.

Area of scale drawing = (Scaled height * Scale base length) / 2
Area of scale drawing = (6 * 10) / 2
Area of scale drawing = 30 square inches

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