Question

A rectangle with an area of 8 ft² is dilated by a factor of 4. What is the area of the dilated rectangle?

Answer 1

Answer:

4) 128 ft

I just took the quiz and this was right, hope I could help :)

Answer 2

Answer:

Option 4) $128\ ft^{2}$

Step-by-step explanation:

we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

Let

z------> the scale factor

x-----> the area of the dilated rectangle

y----> the area of the original rectangle

so

$z^{2}=\frac{x}{y}$

we have

$z=4$

$y=8\ ft^{2}$

substitute and solve for x

$4^{2}=\frac{x}{8}$

$x=16(8)=128\ ft^{2}$