A triangular flag is 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 scale drawing solve the problem by computing the actual area from the scale drawing

Answer 1

First, calculate the scale factor by dividing the base length of the actual flag by the base length of the scale drawing:
Scale factor = 25 in / 10 in = 2.5

Next, calculate the height of the scale drawing using the scale factor:
Height of scale drawing = Height of actual flag / Scale factor
Height of scale drawing = 15 in / 2.5 = 6 in

Now, calculate the area of the scale drawing using the height and base length:
Area of scale drawing = (1/2) * base length * height
Area of scale drawing = (1/2) * 10 in * 6 in
Area of scale drawing = 30 square inches

Finally, calculate the actual area of the flag by squaring the scale factor and multiplying it by the area of the scale drawing:
Actual area = Scale factor^2 * Area of scale drawing
Actual area = 2.5^2 * 30 square inches
Actual area = 2.5 * 2.5 * 30
Actual area = 187.5 square inches

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