Question

26
rectangle wxyz is dilated by a scale factor of 6 to create rectangle wxyz. if the area of rectangle wxyz is 3 square inches, what is the area of rectangle wxyz?
a 36 square inches
b 108 square inches
c 54 square inches
d 72 square inches

Explanation:

Step1: Find area scale factor

When a figure is dilated by a scale factor $k$, the area scale factor is $k^2$. Here $k=6$, so:
$\text{Area scale factor} = 6^2 = 36$

Step2: Calculate new area

Multiply the original area by the area scale factor. Original area is 3 square inches:
$\text{New Area} = 3 \times 36$

Answer:

B. 108 square inches