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
20 square inches
20 square inches
6.4 square inches
6.4 square inches
3.2 square inches
The area of a triangle is calculated using the formula A = 1/2 * base * height.
In the original triangle:
A = 1/2 * 8 * 5
A = 20 square inches
In the scale drawing:
Let x be the unknown base of the scale drawing.
A = 1/2 * x * 2
20 = 1/2 * x * 2
20 = x
Therefore, the base of the scale drawing is 10 inches.
Now, calculate the area of the scale drawing using this base and the height of 2 inches:
A = 1/2 * 10 * 2
A = 10 square inches
Therefore, the area of Crystal's scale drawing is 10 square inches.
1.6 square inches
1.6 square inches
20 square inches
20 square inches
6.4 square inches
6.4 square inches
3.2 square inches Only one of these
I apologize for the mistake. Let's correct it:
The area of the scale drawing is 1/4 of the area of the original triangle because the height is 2 inches compared to 5 inches, which is a scale factor of 2.
20 (original area) / 4 = 5 square inches
Therefore, the correct answer should be 5 square inches.