Question

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)

3.2 square inches

1.6 square inches

6.4 square inches

20 square inches

Answer 1

Scale factor = 2/5. Area scales by (2/5)^2 = 4/25.

Original area = 1/2·8·5 = 20 sq in.
Scale drawing area = 20·(4/25) = 80/25 = 3.2 sq in.

Answer: 3.2 square inches.