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
To find the area of Magnolia's scale drawing, we first need to find the scale factor between the actual flag and the scale drawing.
The scale factor is given by the ratio of the actual base length to the scale drawing base length:
Scale factor = Actual base length / Scale drawing base length
Scale factor = 25 inches / 10 inches
Scale factor = 2.5
Next, we need to find the height of the scale drawing using the scale factor:
Scale drawing height = Actual height / Scale factor
Scale drawing height = 15 inches / 2.5
Scale drawing height = 6 inches
Now that we have the dimensions of the scale drawing (height = 6 inches, base length = 10 inches), we can find the area using the formula for the area of a triangle:
Area = 0.5 * base length * height
Area = 0.5 * 10 inches * 6 inches
Area = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 square inches.