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 he height of the scale drawing is 2 inches, what is the area of her scale drawing?
(1 point)
The area of the original triangle can be calculated using the formula for the area of a triangle: Area = 1/2 * base * height.
In this case, the base is 8 inches and the height is 5 inches. So, Area = 1/2 * 8 * 5 = 20 square inches.
Since the scale drawing has a height of 2 inches, the scale factor is 2/5. This means that the scale drawing will have a base of 2/5 * 8 = 3.2 inches.
The area of the scale drawing can be calculated using the same formula: Area = 1/2 * 3.2 * 2 = 3.2 square inches.
Therefore, the area of the scale drawing is 3.2 square inches.