A triangular sail has a height of 50 feet and a base of 25 feet. George makes a scale drawing of the sail jn which the height is 5 feet. What is the area of the scale drawing
The scale factor is 5/50 or 1/10. To find the area of the scale drawing, we need to square this scale factor and multiply it by the area of the actual triangle.
Scale factor = 1/10
Area of actual triangle = (1/2) x base x height = (1/2) x 25 x 50 = 625
Area of scale drawing = (scale factor)^2 x area of actual triangle
Area of scale drawing = (1/10)^2 x 625
Area of scale drawing = 0.1 x 0.1 x 625
Area of scale drawing = 6.25
Therefore, the area of the scale drawing is 6.25 square feet.