Use the image to answer the question.
An illustration shows a triangle with a base labeled 8 inches. A line runs through the center of the triangle from the apex to the base. This perpendicular height is labeled 5 inches.
Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base of the triangle measures 8 inches. Crystal makes a scale drawing of the triangle. If the height of her scale drawing is 2 inches, what is the area of her scale drawing?
(1 point)
Responses
6.4 square inches
3.2 square inches
20 square inches
1.6 square inches
1 answer
The scale factor in this case would be 5/2 = 2.5. Since area is proportional to the square of the scale factor, the area of the scale drawing would be 2.5^2 = 6.25 square inches. Therefore, the closest option is 6.4 square inches.