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

1 answer

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.