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 3.2 square inches 3.2 square inches 6.4 square inches 6.4 square inches 20 square inches 20 square inches 1.6 square inches
The area of the original triangle is (1/2) x base x height = (1/2) x 8 x 5 = 20 square inches.
Since the scale of the drawing is 2:5 (2/5), the area of the scale drawing will be (2/5)^2 = 4/25 times the area of the original triangle.
Thus, the area of her scale drawing will be 20 x 4/25 = 80/25 = 3.2 square inches.
Therefore, the correct answer is 3.2 square inches.