George makes a 1/25 scale drawing of a triangular sail. The triangle in the drawing is 2 feet high with a base of 1 foot. What is the area of the sail?
Since the drawing is at a 1/25 scale, we need to multiply the height and base of the triangle by 25 to find the actual dimensions of the sail.
Height of the sail = 2 feet * 25 = 50 feet
Base of the sail = 1 foot * 25 = 25 feet
Now, we can calculate the area of the sail using the formula for the area of a triangle:
Area = 0.5 * base * height
Area = 0.5 * 25 * 50
Area = 625 square feet
Therefore, the area of the sail is 625 square feet.
or
if the linear ratio is 25/1
then the ratio of squares is 25^2 /1 = 625 / 1
so 625 * (1/2)(foot)(luff) = 625 * (1/2) * 1 * 2
= 625