To find the area of the scale drawing, we need to first find the scale factor that Crystal used to create the scale drawing.
The scale factor is the ratio of the height of the actual triangle to the height of the scale drawing:
scale factor = actual height / scale drawing height
scale factor = 5 inches / 2 inches
scale factor = 2.5
Since the scale factor is 2.5, this means that each measurement in the scale drawing is 2.5 times smaller than in the actual triangle.
Next, we need to find the base of the scale drawing by multiplying the actual base by the scale factor:
scale drawing base = actual base * scale factor
scale drawing base = 8 inches * 2.5
scale drawing base = 20 inches
Now that we have the height and base of the scale drawing, we can calculate the area of the scale drawing:
area = (1/2) * base * height
area = (1/2) * 20 inches * 2 inches
area = 10 square inches
Therefore, the area of Crystal's scale drawing of the triangle is 10 square inches.
8) 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?
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