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
First, let's find the scale factor used by Magnolia to create her drawing.
Scale factor = Actual length / Length on scale drawing
Scale factor = 25 inches / 10 inches
Scale factor = 2.5
Now, to find the height of Magnolia's 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 that we have the dimensions of Magnolia's scale drawing (base length = 10 inches, height = 6 inches), we can find the area of the scale drawing.
Area = (1/2) * base length * height
Area = (1/2) * 10 inches * 6 inches
Area = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 square inches.