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)
Responses

20 square inches
20 square inches

3.2 square inches
3.2 square inches

1.6 square inches
1.6 square inches

6.4 square inches

Answer 1

The scale factor is 2/5, so linear dimensions are multiplied by 2/5. Original area = 1/2·8·5 = 20 in². Area scales by (2/5)² = 4/25, so new area = 20·4/25 = 3.2 in².

Answer: 3.2 square inches.