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)
• 20 square inches
• 3.2 square inches
• 6.4 square inches
O 1.6 square inches
To find the area of the scale drawing, we need to first find the scale factor by comparing the heights of the actual triangle and the scale drawing.
Scale factor = Height of scale drawing / Height of actual triangle
Scale factor = 2 / 5
Scale factor = 0.4
Now, calculate the base of the scale drawing using the scale factor:
Base of scale drawing = Scale factor * Base of actual triangle
Base of scale drawing = 0.4 * 8
Base of scale drawing = 3.2 inches
Now that we have the base and height of the scale drawing, we can calculate the area:
Area of scale drawing = (1/2) * base * height
Area of scale drawing = (1/2) * 3.2 * 2
Area of scale drawing = 3.2 square inches
Therefore, the area of Crystal's scale drawing is 3.2 square inches.