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
3.2 square inches
3.2 square inches
20 square inches
20 square inches
6.4 square inches
6.4 square inches
1.6 square inches
The area of a triangle is calculated using the formula A = 0.5 * base * height.
In the original triangle, the area would be A = 0.5 * 8 * 5 = 20 square inches.
When Crystal makes a scale drawing with a height of 2 inches, the corresponding base on the scale drawing is still 8 inches. Using the same formula, the area of her scale drawing would be A = 0.5 * 8 * 2 = 8 square inches.
Therefore, the correct answer is:
20 square inches