Question

rectangle j has an area of 2 square units. amira drew a scaled version of rectangle j and labeled it rectangle k. image of rectangle k on a grid what scale factor did amira use to go from rectangle j to rectangle k?

Explanation:

Step1: Determine dimensions of Rectangle K

From the grid, Rectangle K has length 8 units and width 4 units. So area of K is $8\times4 = 32$ square units.

Step2: Recall area scale factor relation

If scale factor is $k$, area scale factor is $k^2$. Area of J is 2, area of K is 32. So $k^2=\frac{32}{2}=16$.

Step3: Find scale factor k

Take square root: $k = \sqrt{16}=4$.

Answer:

4