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)
Write it like a 7th grader would..
To find the area of Magnolia's scale drawing of the flag, we first need to figure out the scale factor. The scale factor is the ratio of the actual length to the length on the scale drawing. In this case, the actual base length is 25 inches and the scale drawing base length is 10 inches, so the scale factor is 25/10 = 2.5.
Next, we need to find the height of the scale drawing. Since the height of the actual flag is 15 inches and the scale factor is 2.5, the height of the scale drawing is 15/2.5 = 6 inches.
Now, we can calculate the area of the scale drawing. The area of a triangle is 1/2 * base * height. Plugging in the values, we get 1/2 * 10 * 6 = 30 square inches.
Therefore, the area of Magnolia's scale drawing of the flag is 30 square inches.