Question

Lin created a scaled copy of Triangle A with an area of 72 square units. How many times larger is the area of the scaled copy compared to that of Triangle A

Answer 1

Answer:

The question is not complete, here is a possible match to the complete question:

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. What scale factor did Lin apply to the Triangle A to create the copy? Remember: A=1/2bh

a) 4

b) 8

c) 16

Answer:

Scale factor = 16

Step-by-step explanation:

From the diagram attached to this solution, the triangle was plotted on a graph sheet, and each grid on the graph represents 1 unit. hence the dimensions of Triangle A from the diagram is as follows:

Base = 3 units

Height = 3 units

Next, in order to determine the scale factor of the area of the triangle after scaling, let us calculate the area of the unscaled triangle.

Area of Triangle = 1/2 (base × height)

Area or Triangle = 0.5 × 3 × 3 = 4.5 square units

Therefore,

Area of unscaled triangle = 4.5 squared units

Area of scaled triangle = 72 squared units

since the area of the scaled triangle is larger than the unscaled triangle, the scale factor is simply the number of times by which the scaled triangle was enlarged, compared to the unscaled triangle. This can be calculated by dividing the scaled triangle by the unscaled triangle as follows:

Scale factor =(scaled triangle) ÷ (unscaled triangle)

Scale factor =  72 ÷ 4.5 = 16

Answer 2

How many times larger is the area of of the scaled copy compared to that of Triangle A?