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 first need to determine the scale factor used to create the drawing.
The original flag has a base length of 25 inches and a scale drawing with a base length of 10 inches. The scale factor can be calculated by dividing the scale drawing's base length by the actual base length:
Scale factor = 10 inches / 25 inches = 0.4
Now, we need to apply this scale factor to find the height of Magnolia's scale drawing:
Height of scale drawing = Scale factor x Actual height
Height of scale drawing = 0.4 x 15 inches = 6 inches
Now that we have the base length and height of the scale drawing, we can calculate its area:
Area of scale drawing = 0.5 x base x height
Area of scale drawing = 0.5 x 10 inches x 6 inches
Area of scale drawing = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 square inches.