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?

A. 1.6 square inches

B. 6.4 square inches

C. 3.2 square inches

D. 20 square inches

1 answer

To find the area of the scale drawing, we need to first calculate the scale factor between the actual triangle and the scale drawing.

Scale factor = Height of actual triangle / Height of scale drawing
Scale factor = 5 / 2
Scale factor = 2.5

Now, we need to find the base of the scale drawing using the scale factor:
Base of scale drawing = Base of actual triangle / Scale factor
Base of scale drawing = 8 / 2.5
Base of scale drawing = 3.2 inches

Now, we can calculate the area of the scale drawing:
Area = (1/2) * base * height
Area = (1/2) * 3.2 * 2
Area = 3.2 square inches

Therefore, the area of Crystal's scale drawing is 3.2 square inches.

The answer is: C. 3.2 square inches