Use the image to answer the question.
An illustration shows a triangle with a base labeled 8 inches. A line runs through the center of the triangle from the apex to the base. This perpendicular height is labeled 5 inches.
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)
Responses
1.6 square inches
20 square inches
6.4 square inches
3.2 square inches
To find the area of the scale drawing, we need to use the scale factor between the actual triangle and the scale drawing.
The scale factor is found by dividing the height of the actual triangle by the height of the scale drawing:
5 inches / 2 inches = 2.5
Now, to find the area of the scale drawing, we need to square the scale factor and multiply it by the area of the actual triangle:
Scale Factor^2 = 2.5^2 = 6.25
Area of scale drawing = 6.25 * (1/2) * 8 * 2 = 6.25 * 8 = 50 square inches
Therefore, Crystal's scale drawing has an area of 6.25 square inches.