Question
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.
To find the area of Magnolia's scale drawing, we first need to calculate the scale factor used to create the drawing.
Scale factor = Actual length / Scale length
Scale factor = 25 inches / 10 inches
Scale factor = 2.5
Now, we can use the scale factor to find the height of Magnolia's scale drawing:
Scale height = Actual height / Scale factor
Scale height = 15 inches / 2.5
Scale height = 6 inches
Now that we have the base and height of Magnolia's scale drawing, we can calculate the area:
Scale area = (1/2) * base * height
Scale area = (1/2) * 10 inches * 6 inches
Scale area = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 square inches.