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 from the scale drawing. Show your work.

Answer 1

To find the area of the scale drawing of the flag, we first need to find the scale factor between the actual flag and the scale drawing.

The scale factor is found by dividing the actual size by the scale size:
Scale factor = Actual size / Scale size
Scale factor = 25 inches / 10 inches
Scale factor = 2.5

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

Now we can find 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 inches * 6 inches
Area of scale drawing = 30 square inches

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