Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base is 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?
A. 6.4 square inches
B. 20 square inches
C. 1.6 square inches
D. 3.2 square inches
B. 20 square inches
To find the area of the scale drawing, we need to first find the scale factor by dividing the height of the scale drawing by the actual height of the triangle:
Scale factor = 2 / 5 = 0.4
Next, we need to find the base of the scale drawing by multiplying the actual base of the triangle (8 inches) by the scale factor:
Base of scale drawing = 8 * 0.4 = 3.2 inches
Now, we can calculate the area of the scale drawing by multiplying the height by the base and dividing by 2:
Area of scale drawing = (2 * 3.2) / 2 = 6.4 square inches
Therefore, the area of Crystal's scale drawing is 6.4 square inches.