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 pc

1 answer

To find the area of Magnolia's scale drawing, first, we need to determine the scale factor. The scale factor is calculated by dividing the actual length by the length on the scale drawing:

Scale factor = Actual length / Length on scale drawing
Scale factor = 25 inches / 10 inches = 2.5

Next, we need to calculate the height of the triangle on the scale drawing using the scale factor:

Height on scale drawing = Actual height / Scale factor
Height on scale drawing = 15 inches / 2.5 = 6 inches

Now that we have both the base length (10 inches) and the height (6 inches) on the scale drawing, we can calculate the area of the triangle on the scale drawing:

Area = 0.5 * base length * height
Area = 0.5 * 10 inches * 6 inches = 30 square inches

Therefore, the area of Magnolia's scale drawing of the flag is 30 square inches.