Use the image to answer the question.
5 in.
8 in.
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)
20 square inches
1.6 square inches
6.4 square inches
3.2 square inches
The scale factor is 2/5, since the height of the scale drawing is 2 inches, but the actual height is 5 inches.
To find the length of the base of the scale drawing, we need to use the same scale factor on the actual base length:
8 inches * (2/5) = 3.2 inches
Now, we can find the area of the scale drawing by multiplying the base length by the height and dividing by 2:
(3.2 inches * 2 inches) / 2 = 3.2 square inches
Therefore, the area of Crystal's scale drawing is 3.2 square inches.