Use the image to answer the question. 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 20 square inches 20 square inches 1.6 square inches 1.6 square inches 3.2 square inches 3.2 square inches 6.4 square inches
To find the area of the scale drawing, we first need to find the scale factor between the height of the actual triangle and the height of the scale drawing.
Scale factor = height of scale drawing / height of actual triangle
Scale factor = 2 / 5
Scale factor = 0.4
To find the base of the scale drawing, we multiply the scale factor by the base of the actual triangle.
Base of scale drawing = 0.4 * 8 = 3.2 inches
Now, we calculate the area of the scale drawing:
Area = (base * height) / 2
Area = (3.2 * 2) / 2
Area = 6.4 square inches
Therefore, Crystal's scale drawing has an area of 6.4 square inches.