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. Show your work.(4 points)
To find the area of Magnolia's scale drawing, we need to find the scale factor first. The scale factor is calculated by dividing the actual base length by the scale base length:
Scale factor = Actual base length / Scale base length
Scale factor = 25 inches / 10 inches
Scale factor = 2.5
Next, we need to find the height of the scale drawing by multiplying the scale factor by the actual height:
Scale height = Actual height * Scale factor
Scale height = 15 inches * 2.5
Scale height = 37.5 inches
Now we can find the area of Magnolia's scale drawing using the scale height and scale base length:
Area of scale drawing = 0.5 * base length * height
Area of scale drawing = 0.5 * 10 inches * 37.5 inches
Area of scale drawing = 0.5 * 10 * 37.5
Area of scale drawing = 0.5 * 375
Area of scale drawing = 187.5 square inches
Therefore, the area of Magnolia's scale drawing is 187.5 square inches.