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 base length is 10 inches what is the area of magnolia scale drawing
First, we need to find the scale factor used by Magnolia to create the scale drawing. The scale factor can be calculated by dividing the actual base length of the flag by the base length of the scale drawing:
Scale factor = Actual base length / Scale drawing base length
Scale factor = 25 inches / 10 inches
Scale factor = 2.5
Now, we can use this scale factor to find the height of Magnolia's scale drawing:
Scale drawing height = Actual height / Scale factor
Scale drawing height = 15 inches / 2.5
Scale drawing height = 6 inches
The area of a triangle is calculated using the formula: 0.5 * base * height. For Magnolia's scale drawing, the area would be:
Area = 0.5 * 10 inches * 6 inches
Area = 30 square inches
Therefore, the area of Magnolia's scale drawing of the flag is 30 square inches.