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. Please Show your work.

3 answers

To find the area of Magnolia's scale drawing, we need to first find the scale factor used in the drawing.

Scale factor = Actual base length / Scale base length
Scale factor = 25 / 10
Scale factor = 2.5

Now, we can use this scale factor to find the height of the scale drawing:
Scale height = Actual height / Scale factor
Scale height = 15 / 2.5
Scale height = 6

Now we can find the area of the scale drawing using the scale base length and scale height:
Scale area = (1/2) * scale base length * scale height
Scale area = (1/2) * 10 * 6
Scale area = 30 square inches

Therefore, the area of Magnolia's scale drawing is 30 square inches.
how do you find its scale factor
To find the scale factor, you compare the actual length (or height) to the corresponding length (or height) in the scale drawing. In this case, we are comparing the actual base length to the scale base length.

Scale factor = Actual base length / Scale base length
Scale factor = 25 / 10
Scale factor = 2.5

The scale factor tells you how many times larger the actual dimensions are compared to the dimensions in the scale drawing. In this case, the scale factor is 2.5, meaning that the actual dimensions are 2.5 times larger than the corresponding dimensions in the scale drawing.