Use the image to answer the question.

there is a triangle with the measurements of 5 in, and 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 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. 20 square inches
B. 6.4 square inches
C. 1.6 square inches
D. 3.2 square inches

1 answer

B. 6.4 square inches

To find the area of the scale drawing, first find the scale factor by dividing the height of the actual triangle by the height of the scale drawing:

5 in / 2 in = 2.5

Next, square the scale factor to find the area scale factor:

2.5^2 = 6.25

Finally, multiply the area of the actual triangle by the area scale factor:

5 in * 8 in * 0.5 * 0.5 = 6.4 square inches