Area and Perimeter Unit Test

Question

6 of 156 of 15 Items
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)
Responses

1.6 square inches
1.6 square inches

3.2 square inches
3.2 square inches

6.4 square inches
6.4 square inches

20 square inches

Answer 1

To find the area of a triangle, you use the formula: Area = 1/2 * base * height.

In the original triangle, the base is 8 inches and the height is 5 inches. So, the area of the original triangle is:
Area = 1/2 * 8 * 5 = 20 square inches.

Since Crystal's scale drawing has a height of 2 inches, we need to find the equivalent base that corresponds to this height.
Using the scale factor of height, we can calculate the equivalent base:
2 / 5 = x / 8
x = 8 * 2 / 5
x = 16 / 5
x = 3.2 inches

Now, we can calculate the area of Crystal's scale drawing using the base of 3.2 inches and height of 2 inches:
Area = 1/2 * 3.2 * 2 = 3.2 square inches.

Therefore, the correct answer is:
3.2 square inches.