The scale factor between the actual triangle and the scale drawing is 5/2 = 2.5. Since the area of a triangle is proportional to the square of the side lengths, the area of the scale drawing will be 2.5^2 = 6.25 times smaller than the actual triangle.
Therefore, the area of the scale drawing is 5 * 8 / 6.25 = 6.4 square inches.
Answer: 6.4 square inches
Use the image to answer the question.
5 in.
8 in.
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)
• 1.6 square inches
• 6.4 square inches
• 3.2 square inches
• 20 square inches
1 answer