A triangular flag has a height of 15 in and a base length of 25 in. Magnolia makes a scale drawing of the flag in which the base length is 10 in what is the area of Magnolia's scale drawing solve the problem by computing the actual area from the scale drawing show the work

Answer 1

First, we need to determine the scale factor used by Magnolia in her drawing.

The original base length of the flag is 25 in, and the base length in the scale drawing is 10 in. So, the scale factor is 10/25 = 0.4.

Next, we need to calculate the actual height of the flag in the scale drawing. Since the scale factor is 0.4, the height of the flag in the scale drawing should be 15 * 0.4 = 6 in.

Now, we can find the area of the scale drawing. The base length is 10 in and the height is 6 in. So, the area of the scale drawing is 0.5 * 10 * 6 = 30 square inches.

Finally, we need to compute the actual area of the flag. The actual base length is 25 in and the actual height is 15 in. So, the actual area of the flag is 0.5 * 25 * 15 = 187.5 square inches.

Therefore, the area of Magnolia's scale drawing is 30 square inches, and the actual area of the flag is 187.5 square inches.