Answer:
The question appears to be incomplete, here’s a possible interpretation of the full question:
Here is Triangle A. Lin produced a scaled version of Triangle A with an area of 72 square units. What scale factor was used by Lin to create this copy? Recall: A=1/2bh
a) 4
b) 8
c) 16
Answer:
Scale factor = 16
Step-by-step explanation:
Based on the diagram provided, the triangle was drawn on graph paper, where each grid equals 1 unit. Thus, the dimensions of Triangle A derived from the diagram are:
Base = 3 units
Height = 3 units
To find the scale factor associated with the area of the triangle after scaling, we first calculate the area of the original triangle.
Area of Triangle = 1/2 (base × height)
Area of Triangle = 0.5 × 3 × 3 = 4.5 square units
Consequently,
Area of the original triangle = 4.5 square units
Area of the scaled triangle = 72 square units
Since the area of the scaled triangle exceeds that of the original, the scale factor simply reflects how many times the area was increased from the original triangle to the scaled one, calculated as:
Scale factor = (scaled triangle) ÷ (original triangle)
Scale factor = 72 ÷ 4.5 = 16