Asked by fca

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
Answered by fca
what is the completely right answer
Answered by 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.
Answered by 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