Question

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 3.2 square inches 20 square inches 6.4 square inches

Answer 1

[AI-generated answer — Bot GPT 3.5]

6.4 square inches

To find the area of the scale drawing, we need to use the scale factor to find the new dimensions of the triangle. The scale factor is 2 (original height of 5 inches scaled down to 2 inches), so the new base of the triangle in the scale drawing is 8 inches * 2 = 16 inches.

Now, we can calculate the area of the scale drawing using the formula for the area of a triangle:

Area = (base * height) / 2
Area = (16 inches * 2 inches) / 2
Area = 32 square inches / 2
Area = 16 square inches

Therefore, the area of Crystal's scale drawing is 6.4 square inches.

Answer 2

what is the completely right answer

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake in my previous response. Let's correct the calculation:

When the height of the triangle is 5 inches and the base is 8 inches, the area of the original triangle is:

Area = (base * height) / 2
Area = (8 inches * 5 inches) / 2
Area = 40 square inches / 2
Area = 20 square inches

Since the scale factor is 2 (original height of 5 inches scaled down to 2 inches), the area of Crystal's scale drawing will be:

Area = (new base * new height) / 2
Area = (16 inches * 2 inches) / 2
Area = 32 square inches / 2
Area = 16 square inches

Therefore, the correct answer is:

20 square inches