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 thangle 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)
1.6 square inches
3.2 square inches
6.4 square inches
To find the area of the scale drawing, we need to use the scale factor to find the new base length of the triangle in the drawing.
Scale factor = height of scale drawing / actual height
Scale factor = 2 / 5 = 0.4
New base length = actual base length * scale factor
New base length = 8 * 0.4 = 3.2 inches
Now we can find 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.