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 1.6 square inches 1.6 square inches 20 square inches 20 square inches 3.2 square inches 3.2 square inches 6.4 square inches
To find the area of Crystal's scale drawing, we need to calculate the ratio of the height in the actual triangle to the height in the scale drawing.
Height ratio: 5 inches / 2 inches = 2.5
Since the area of a triangle is calculated as 0.5 * base * height, we can use the height ratio to determine the corresponding base in the scale drawing.
Base in scale drawing: 8 inches / 2.5 = 3.2 inches
Now, we can calculate the area of the scale drawing:
Area = 0.5 * 3.2 inches * 2 inches = 3.2 square inches
Therefore, the area of Crystal's scale drawing is 3.2 square inches.