Question

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)Responses1.6 square inches1.6 square inches20 square inches20 square inches3.2 square inches3.2 square inches6.4 square inches6.4 square inchesSkip to navigation

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the area of Crystal's scale drawing, we can use the formula for the area of a triangle:

Area = (base * height) / 2

In the original triangle, the base is 8 inches and the height is 5 inches. In the scale drawing, the height is 2 inches.

Plugging in the values, we get:

Area = (8 * 2) / 2
Area = 16 / 2
Area = 8 square inches

Therefore, the area of Crystal's scale drawing is 8 square inches.

Answer 2

The only options are: 1.6 square inches

1.6 square inches

20 square inches
20 square inches

3.2 square inches
3.2 square inches

6.4 square inches

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the area of Crystal's scale drawing, we need to use the concept of similarity. The ratio of corresponding sides in two similar figures is equal.

In this case, the ratio of the actual height to the height of the scale drawing is 5:2. Therefore, the ratio of areas will be the square of that ratio (since area is 2-dimensional):

(5:2)^2 = (25:4)

This means that the area of the scale drawing will be 1/6.25 times the area of the original triangle.

The area of the original triangle is (1/2) * base * height = (1/2) * 8 * 5 = 20 square inches.

Therefore, the area of Crystal's scale drawing will be 20 square inches * 1/6.25 = 3.2 square inches.

So, the answer is 3.2 square inches.